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@phdthesis{ Abb89,
author = {Abbott, J. A.},
title = {On the Factorization of Polynomials over Algebraic
Fields},
month = {September},
school = {School of Mathematical Sciences, University of Bath},
year = {1989},
printedkey = {Abb89}
}
@article{ AL94,
author = {Alvis, D. and Lusztig, G.},
title = {Correction to the paper: {T}he representations and
generic degrees of the {H}ecke algebra of type {$H_4$}
[{J}. {R}eine {A}ngew. {M}ath. {\bf 336} (1982),
201{\textendash}212; {MR}0671329 (84a:20013)]},
journal = {J. Reine Angew. Math.},
volume = {449},
year = {1994},
pages = {217{\textendash}218},
crossref = {AL82},
note = {Correction: ibid. \bf 449, 217{\textendash}218 (1994)},
coden = {JRMAA8},
fjournal = {Journal f{\"u}r die Reine und Angewandte Mathematik},
issn = {0075-4102},
mrclass = {20C15},
mrnumber = {1268587 (95a:20005)},
mrreviewer = {Bhama Srinivasan},
printedkey = {AL94}
}
@article{ AL82,
author = {Alvis, D. and Lusztig, G.},
title = {The representations and generic degrees of the {H}ecke
algebra of type {$H_4$}},
journal = {J. Reine Angew. Math.},
volume = {336},
year = {1982},
pages = {201{\textendash}212},
crossref = {AL94},
note = {Correction: ibid. \bf 449, 217{\textendash}218 (1994)},
coden = {JRMAA8},
fjournal = {Journal f{\"u}r die Reine und Angewandte Mathematik},
issn = {0075-4102},
mrclass = {20C15},
mrnumber = {671329 (84a:20013)},
mrreviewer = {Bhama Srinivasan},
printedkey = {AL82}
}
@article{ Alv87,
author = {Alvis, D.},
title = {The left cells of the {C}oxeter group of type {$H_4$}},
journal = {J. Algebra},
volume = {107},
number = {1},
year = {1987},
pages = {160{\textendash}168},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C15 (20C30 20H15)},
mrnumber = {883878 (88d:20014)},
mrreviewer = {Bhama Srinivasan},
printedkey = {Alv87}
}
@incollection{ AMW82,
author = {Arrell, D. G. and Manrai, S. and Worboys, M. F.},
editor = {Campbell, C. M. and Robertson, E. F.},
booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)},
title = {A procedure for obtaining simplified defining
relations for a subgroup},
publisher = {Cambridge Univ. Press},
series = {London Math. Soc. Lecture Note Ser.},
volume = {71},
address = {Cambridge},
year = {1982},
pages = {155{\textendash}159},
crossref = {GrpsStAndrews81},
isbn = {0-521-28974-2},
mrclass = {20F05 (20-04)},
mrnumber = {679157 (84a:20041)},
keywords = {finitely presented groups; subgroup presentation,
simplification; modified Todd Coxeter (mtc), tree
decoding; algorithm description},
printedkey = {AMW82}
}
@incollection{ AR84,
author = {Arrell, D. G. and Robertson, E. F.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {A modified {T}odd-{C}oxeter algorithm},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {27{\textendash}32},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20F05 (20-04)},
mrnumber = {760644 (86g:20042)},
mrreviewer = {I. D. Macdonald},
keywords = {finitely presented groups; subgroup presentation,
simplification; modified Todd Coxeter (mtc), tree
decoding; algorithm description},
printedkey = {AR84}
}
@book{ Art68,
author = {Artin, E.},
title = {Galoissche {T}heorie},
publisher = {Verlag Harri Deutsch},
address = {Zurich},
year = {1973},
pages = {86},
note = {{\"U}bersetzung nach der zweiten englischen Auflage
besorgt von Viktor Ziegler, Mit einem Anhang von N. A.
Milgram, Zweite, unver{\"a}nderte Auflage,
Deutsch-Taschenb{\"u}cher, No. 21},
mrclass = {12-02},
mrnumber = {0392905 (52 \#13718)},
printedkey = {Art73}
}
@phdthesis{ Bau91,
author = {Baum, U.},
title = {Existenz und effiziente {K}onstruktion schneller
{F}ouriertransformationen {\"u}beraufl{\"o}sbarer
{G}ruppen},
school = {Rheinische Friedrich Wilhelm Universit{\"a}t Bonn},
address = {Bonn, Germany},
year = {1991},
printedkey = {Bau91},
type = {Dissertation}
}
@article{ BC94,
author = {Baum, U. and Clausen, M.},
title = {Computing irreducible representations of supersolvable
groups},
journal = {Math. Comp.},
volume = {63},
number = {207},
year = {1994},
pages = {351{\textendash}359},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20C40 (20C15 68Q40)},
mrnumber = {1226811 (94i:20029)},
mrreviewer = {Wolfgang Lempken},
printedkey = {BC94}
}
@inproceedings{ BCFS91,
author = {Babai, L. and Cooperman, G. and Finkelstein, L. and
Seress, {\a'A}.},
booktitle = {Proceedings of the International Symposium on Symbolic
and Algebraic Computation (ISSAC'91), Bonn 1991},
title = {Nearly Linear Time Algorithms for Permutation Groups
with a Small Base},
publisher = {ACM Press},
year = {1991},
pages = {200{\textendash}209},
crossref = {ISSAC91},
printedkey = {BCFS91}
}
@article{ BC76,
author = {Beetham, M. J. and Campbell, C. M.},
title = {A note on the {T}odd-{C}oxeter coset enumeration
algorithm},
journal = {Proc. Edinburgh Math. Soc. (2)},
volume = {20},
number = {1},
year = {1976},
pages = {73{\textendash}79},
fjournal = {Proceedings of the Edinburgh Mathematical Society.
Series II},
issn = {0013-0915},
mrclass = {20F05},
mrnumber = {0399265 (53 \#3116)},
mrreviewer = {D. L. Johnson},
keywords = {finitely presented groups; subgroup presentation;
modified Todd Coxeter (mtc); algorithm description},
printedkey = {BC76}
}
@article{ Ben76,
author = {Benard, M.},
title = {Schur indices and splitting fields of the unitary
reflection groups},
journal = {J. Algebra},
volume = {38},
number = {2},
year = {1976},
pages = {318{\textendash}342},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C30},
mrnumber = {0401901 (53 \#5727)},
mrreviewer = {Larry C. Grove},
printedkey = {Ben76}
}
@article{ BC72,
author = {Benson, C. T. and Curtis, C. W.},
title = {On the degrees and rationality of certain characters
of finite {C}hevalley groups},
journal = {Trans. Amer. Math. Soc.},
volume = {165},
year = {1972},
pages = {251{\textendash}273},
fjournal = {Transactions of the American Mathematical Society},
issn = {0002-9947},
mrclass = {20C30},
mrnumber = {0304473 (46 \#3608)},
mrreviewer = {A. Dress},
printedkey = {BC72}
}
@article{ Ber76,
author = {Berger, T. R.},
title = {Characters and derived length in groups of odd order},
journal = {J. Algebra},
volume = {39},
number = {1},
year = {1976},
pages = {199{\textendash}207},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C15},
mrnumber = {0396729 (53 \#590)},
mrreviewer = {I. M. Isaacs},
printedkey = {Ber76}
}
@mastersthesis{ Besche92,
author = {Besche, H. U.},
title = {Die {B}erechnung von {C}haraktergraden und
{C}harakteren endlicher aufl{\"o}sbarer {G}ruppen im
{C}omputeralgebrasystem {GAP}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1992},
printedkey = {Bes92},
type = {Diplomarbeit}
}
@article{ BescheEick98,
author = {Besche, H. U. and Eick, B.},
title = {Construction of finite groups},
journal = {J. Symbolic Comput.},
volume = {27},
number = {4},
year = {1999},
pages = {387{\textendash}404},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20-04 (20D05 20D10)},
mrnumber = {1681346 (2000c:20001)},
mrreviewer = {Eamonn A. O'Brien},
printedkey = {BE99}
}
@article{ BescheEick1000,
author = {Besche, H. U. and Eick, B.},
title = {The groups of order at most 1000 except 512 and 768},
journal = {J. Symbolic Comput.},
volume = {27},
number = {4},
year = {1999},
pages = {405{\textendash}413},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20-04 (20D05 20D10)},
mrnumber = {1681347 (2000c:20002)},
mrreviewer = {Eamonn A. O'Brien},
printedkey = {BE99}
}
@article{ BescheEick768,
author = {Besche, H. U. and Eick, B.},
title = {The groups of order {$q^n \cdot p$}},
journal = {Comm. Algebra},
volume = {29},
number = {4},
year = {2001},
pages = {1759{\textendash}1772},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20D60},
mrnumber = {1853124 (2002f:20028)},
printedkey = {BE01}
}
@article{ BEO00,
author = {Besche, H. U. and Eick, B. and O'Brien, E. A.},
title = {The groups of order at most 2000},
journal = {Electron. Res. Announc. Amer. Math. Soc.},
volume = {7},
year = {2001},
pages = {1{\textendash}4 (electronic)},
fjournal = {Electronic Research Announcements of the American
Mathematical Society},
issn = {1079-6762},
mrclass = {20D60},
mrnumber = {1826989},
printedkey = {BEO01}
}
@article{ BEO01,
author = {Besche, H. U. and Eick, B. and O'Brien, E. A.},
title = {A millennium project: constructing small groups},
journal = {Internat. J. Algebra Comput.},
volume = {12},
number = {5},
year = {2002},
pages = {623{\textendash}644},
fjournal = {International Journal of Algebra and Computation},
issn = {0218-1967},
mrclass = {20D99},
mrnumber = {1935567 (2003h:20042)},
mrreviewer = {Robert M. Guralnick},
printedkey = {BEO02}
}
@article{ BFS79,
author = {Beyl, F. R. and Felgner, U. and Schmid, P.},
title = {On groups occurring as center factor groups},
journal = {J. Algebra},
volume = {61},
number = {1},
year = {1979},
pages = {161{\textendash}177},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20E22},
mrnumber = {554857 (81i:20034)},
mrreviewer = {Richard E. Phillips},
printedkey = {BFS79}
}
@article{ EOB99,
author = {Eick, B. and O'Brien, E. A.},
title = {Enumerating {$p$}-groups},
journal = {J. Austral. Math. Soc. Ser. A},
volume = {67},
number = {2},
year = {1999},
pages = {191{\textendash}205},
note = {Group theory},
coden = {JAMADS},
fjournal = {Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics},
issn = {0263-6115},
mrclass = {20D15 (20J05)},
mrnumber = {1717413 (2000h:20033)},
mrreviewer = {Ph{\d a}m Anh Minh},
printedkey = {EO99}
}
@incollection{ EOB98,
author = {Eick, B. and O'Brien, E. A.},
editor = {Matzat, B. H. and Greuel, G.-M. and Hiss, G.},
booktitle = {Algorithmic algebra and number theory (Heidelberg,
1997)},
title = {The groups of order {$512$}},
publisher = {Springer},
address = {Berlin},
year = {1999},
pages = {379{\textendash}380},
note = {Proceedings of Abschlusstagung des DFG Schwerpunktes
Algorithmische Algebra und Zahlentheorie in Heidelberg},
mrclass = {20D15},
mrnumber = {1672078 (99m:20034)},
printedkey = {EO99}
}
@article{ NOV04,
author = {Newman, M. F. and O'Brien, E. A. and Vaughan-Lee, M.
R.},
title = {Groups and nilpotent {L}ie rings whose order is the
sixth power of a prime},
journal = {J. Algebra},
volume = {278},
number = {1},
year = {2004},
pages = {383{\textendash}401},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20D15 (17B30)},
mrnumber = {2068084 (2005c:20034)},
mrreviewer = {Jeffrey M. Riedl},
printedkey = {NOV04}
}
@article{ OV05,
author = {O'Brien, E. A. and Vaughan-Lee, M. R.},
title = {The groups with order $p^7$ for odd prime $p$},
journal = {J. Algebra},
volume = {292},
number = {1},
year = {2005},
pages = {243{\textendash}258},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20D15 (17B30)},
mrnumber = {2166803 (2006d:20038)},
printedkey = {OV05}
}
@mastersthesis{ Gir03,
author = {Girnat, B.},
title = {{K}lassifikation der {G}ruppen bis zur {O}rdnung
{$p^5$}},
school = {TU Braunschweig},
address = {Braunschweig, Germany},
year = {2003},
printedkey = {Gir03},
type = {Staatsexamensarbeit}
}
@article{ DEi05,
author = {Dietrich, H. and Eick, B.},
title = {On the groups of cube-free order},
journal = {J. Algebra},
volume = {292},
number = {1},
year = {2005},
pages = {122{\textendash}137},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20-04 (20D06 20D10)},
mrnumber = {2166799 (2006g:20001)},
mrreviewer = {Eamonn A. O'Brien},
printedkey = {DE05}
}
@mastersthesis{ Bis89,
author = {Bischops, T.},
title = {Collectoren im {P}rogrammsystem {GAP}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1989},
printedkey = {Bis89},
type = {Diplomarbeit}
}
@techreport{ BC92,
author = {Bosma, W. and Cannon, J. J.},
title = {Handbook of {C}ayley Functions},
institution = {Department of Pure Mathematics, University of Sydney},
address = {Sydney, Australia},
year = {1992},
pages = {282 pp.},
keywords = {system design; Cayley;; manual},
printedkey = {BC92}
}
@book{ Bou68,
author = {Bourbaki, N.},
title = {{\a'E}l{\a'e}ments de math{\a'e}matique. {F}asc.
{XXXIV}. {G}roupes et alg{\a`e}bres de {L}ie.
{C}hapitre {IV}: {G}roupes de {C}oxeter et
syst{\a`e}mes de {T}its. {C}hapitre {V}: {G}roupes
engendr{\a'e}s par des r{\a'e}flexions. {C}hapitre
{VI}: syst{\a`e}mes de racines},
publisher = {Hermann},
series = {Actualit{\a'e}s Scientifiques et Industrielles, No.
1337},
address = {Paris},
year = {1968},
pages = {288 pp. (loose errata)},
mrclass = {22.50 (17.00)},
mrnumber = {0240238 (39 \#1590)},
mrreviewer = {G. B. Seligman},
printedkey = {Bou68}
}
@article{ BC89,
author = {Brent, R. P. and Cohen, G. L.},
title = {A new lower bound for odd perfect numbers},
journal = {Math. Comp.},
volume = {53},
number = {187},
year = {1989},
pages = {431{\textendash}437, S7{\textendash}S24},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {11A25 (11Y05 11Y70)},
mrnumber = {968150 (89m:11008)},
mrreviewer = {Samuel S. Wagstaff, Jr.},
printedkey = {BC89}
}
@mastersthesis{ Bre91,
author = {Breuer, T.},
title = {Potenzabbildungen, {U}ntergruppenfusionen,
{T}afel-{A}utomorphismen},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1991},
printedkey = {Bre91},
type = {Diplomarbeit}
}
@article{ BL96,
author = {Breuer, T. and Lux, K.},
title = {The multiplicity-free permutation characters of the
sporadic simple groups and their automorphism groups},
journal = {Comm. Algebra},
volume = {24},
number = {7},
year = {1996},
pages = {2293{\textendash}2316},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20C34 (20D08)},
mrnumber = {1390375 (97c:20020)},
mrreviewer = {Peter Fleischmann},
printedkey = {BL96}
}
@article{ Bre97,
author = {Breuer, T.},
title = {Integral bases for subfields of cyclotomic fields},
journal = {Appl. Algebra Engrg. Comm. Comput.},
volume = {8},
number = {4},
year = {1997},
pages = {279{\textendash}289},
coden = {AAECEW},
fjournal = {Applicable Algebra in Engineering, Communication and
Computing},
issn = {0938-1279},
mrclass = {11R18},
mrnumber = {1464789 (99a:11120)},
mrreviewer = {Wieb Bosma},
printedkey = {Bre97}
}
@article{ BP98,
author = {Breuer, T. and Pfeiffer, G.},
title = {Finding possible permutation characters},
journal = {J. Symbolic Comput.},
volume = {26},
number = {3},
year = {1998},
pages = {343{\textendash}354},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B99 (20B40 20C15 20C40)},
mrnumber = {1633876 (99e:20005)},
mrreviewer = {Cheryl E. Praeger},
printedkey = {BP98}
}
@inproceedings{ BreuerLinton98,
author = {Breuer, T. and Linton, S.},
booktitle = {ISSAC '98: Proceedings of the 1998 international
symposium on Symbolic and algebraic computation},
title = {The {GAP{\nobreakspace}4} Type System. Organizing
Algebraic Algorithms},
publisher = {ACM Press},
address = {New York, NY, USA},
year = {1998},
pages = {38{\textendash}45},
crossref = {ISSAC98},
note = {Chairman: Volker Weispfenning and Barry Trager},
isbn = {1-58113-002-3},
location = {Rostock, Germany},
source = {ACM Order No.: 505980, ACM member price \$25},
printedkey = {BL98}
}
@article{ Bre99,
author = {Breuer, T.},
title = {Computing possible class fusions from character tables},
journal = {Comm. Algebra},
volume = {27},
number = {6},
year = {1999},
pages = {2733{\textendash}2748},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20C15},
mrnumber = {1687309 (2000c:20015)},
mrreviewer = {J{\"u}rgen Ritter},
printedkey = {Bre99}
}
@inbook{ BN95,
author = {Breuer, T. and Norton, S. P.},
title = {Improvements to the {A}tlas},
publisher = {The Clarendon Press Oxford University Press},
series = {London Mathematical Society Monographs. New Series},
volume = {11},
address = {New York},
year = {1995},
pages = {297{\textendash}327},
crossref = {JLPW95},
note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science
Publications},
isbn = {0-19-851481-6},
mrclass = {20C20 (20-00 20D06 20D08)},
mrnumber = {1367961 (96k:20016)},
mrreviewer = {J. L. Alperin},
printedkey = {BN95}
}
@article{ Bri71,
author = {Brieskorn, E.},
title = {Die {F}undamentalgruppe des {R}aumes der regul{\"a}ren
{O}rbits einer endlichen komplexen {S}piegelungsgruppe},
journal = {Invent. Math.},
volume = {12},
year = {1971},
pages = {57{\textendash}61},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
mrclass = {55A05},
mrnumber = {0293615 (45 \#2692)},
mrreviewer = {L. Neuwirth},
printedkey = {Bri71}
}
@article{ BS72,
author = {Brieskorn, E. and Saito, K.},
title = {Artin-{G}ruppen und {C}oxeter-{G}ruppen},
journal = {Invent. Math.},
volume = {17},
year = {1972},
pages = {245{\textendash}271},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
mrclass = {20F05},
mrnumber = {0323910 (48 \#2263)},
mrreviewer = {D. E. Cohen},
printedkey = {BS72}
}
@article{ BM93,
author = {Brou{\a'e}, M. and Malle, G.},
title = {Zyklotomische {H}eckealgebren},
journal = {Ast{\a'e}risque},
publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France},
number = {212},
address = {Paris},
year = {1993},
pages = {119{\textendash}189},
crossref = {Asterisque212},
note = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques
et blocs des groupes r{\a'e}ductifs finis},
fjournal = {Ast{\a'e}risque},
issn = {0303-1179},
mrclass = {20G40 (20C20 20H15)},
mrnumber = {1235834 (94m:20095)},
mrreviewer = {Fran{\c c}ois Digne},
printedkey = {BM93}
}
@article{ BMM93,
author = {Brou{\a'e}, M. and Malle, G. and Michel, J.},
title = {Generic blocks of finite reductive groups},
journal = {Ast{\a'e}risque},
publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France},
number = {212},
address = {Paris},
year = {1993},
pages = {7{\textendash}92},
crossref = {Asterisque212},
note = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques
et blocs des groupes r{\a'e}ductifs finis},
fjournal = {Ast{\a'e}risque},
issn = {0303-1179},
mrclass = {20G05 (20C20)},
mrnumber = {1235832 (95d:20072)},
mrreviewer = {Bhama Srinivasan},
printedkey = {BMM93}
}
@book{ Asterisque212,
author = {Brou{\a'e}, M. and Malle, G. and Michel, J.},
title = {Repr{\a'e}sentations unipotentes g{\a'e}n{\a'e}riques
et blocs des groupes r{\a'e}ductifs finis},
publisher = {Soci{\a'e}t{\a'e} Math{\a'e}matique de France},
address = {Paris},
year = {1993},
pages = {1{\textendash}203},
note = {Ast{\a'e}risque No. 212 (1993)},
issn = {0303-1179},
mrclass = {20G05},
mrnumber = {1235830 (94c:20078)},
printedkey = {BMM93}
}
@book{ Baker84,
author = {Baker, A.},
title = {A concise introduction to the theory of numbers},
publisher = {Cambridge University Press},
address = {Cambridge},
year = {1984},
pages = {xiii+95},
isbn = {0-521-24383-1; 0-521-28654-9},
mrclass = {11-01},
mrnumber = {781734 (86f:11001)},
mrreviewer = {Don Redmond},
printedkey = {Bak84}
}
@book{ BCN89,
author = {Brouwer, A. E. and Cohen, A. M. and Neumaier, A.},
title = {Distance-regular graphs},
publisher = {Springer-Verlag},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete (3)
[Results in Mathematics and Related Areas (3)]},
volume = {18},
address = {Berlin},
year = {1989},
pages = {xviii+495},
isbn = {3-540-50619-5},
mrclass = {05-02 (05C75)},
mrnumber = {1002568 (90e:05001)},
mrreviewer = {Joe Hemmeter},
printedkey = {BCN89}
}
@book{ BBNWZ78,
author = {Brown, H. and B{\"u}low, R. and Neub{\"u}ser, J. and
Wondratschek, H. and Zassenhaus, H.},
title = {Crystallographic groups of four-dimensional space},
publisher = {Wiley-Interscience [John Wiley \& Sons]},
address = {New York},
year = {1978},
pages = {xiv+443},
note = {Wiley Monographs in Crystallography},
isbn = {0-471-03095-3},
mrclass = {82.20 (20F05)},
mrnumber = {0484179 (58 \#4109)},
mrreviewer = {Daniel B. Litvin},
printedkey = {BBNWZ78}
}
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author = {Baumslag, G. and Cannonito, F. B. and Miller III, C.
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title = {Some recognizable properties of solvable groups},
journal = {Math. Z.},
volume = {178},
number = {3},
year = {1981},
pages = {289{\textendash}295},
coden = {MAZEAX},
fjournal = {Mathematische Zeitschrift},
issn = {0025-5874},
mrclass = {20F16 (03D40 20F10)},
mrnumber = {635200 (82k:20061)},
mrreviewer = {V. A. Roman{\ensuremath{'}}kov},
printedkey = {BCI81}
}
@article{ BCMb,
author = {Baumslag, G. and Cannonito, F. B. and Miller III, C.
F.},
title = {Computable algebra and group embeddings},
journal = {J. Algebra},
volume = {69},
number = {1},
year = {1981},
pages = {186{\textendash}212},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20F10 (03D40 03D45 16A53)},
mrnumber = {613868 (82e:20042)},
mrreviewer = {D. E. Cohen},
printedkey = {BCI81}
}
@book{ Bourbaki70,
author = {Bourbaki, N.},
title = {{\a'E}l{\a'e}ments de math{\a'e}matique.
{A}lg{\a`e}bre. {C}hapitres 1 {\a`a} 3},
publisher = {Hermann},
address = {Paris},
year = {1970},
pages = {xiii+635 pp. (not consecutively paged)},
mrclass = {00.00 (13.00)},
mrnumber = {0274237 (43 \#2)},
mrreviewer = {P. Samuel},
printedkey = {Bou70}
}
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author = {Brown, R. and Johnson, D. L. and Robertson, E. F.},
title = {Some computations of nonabelian tensor products of
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journal = {J. Algebra},
volume = {111},
number = {1},
year = {1987},
pages = {177{\textendash}202},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20F05 (20E22)},
mrnumber = {913203 (88m:20071)},
mrreviewer = {Stephen J. Pride},
printedkey = {BJR87}
}
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author = {Buekenhout, F. and Leemans, D.},
title = {On the list of finite primitive permutation groups of
degree {$\leq 50$}},
journal = {J. Symbolic Comput.},
volume = {22},
number = {2},
year = {1996},
pages = {215{\textendash}225},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B15},
mrnumber = {1422147 (97g:20004)},
printedkey = {BL96}
}
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author = {Butler, G. and McKay, J.},
title = {The transitive groups of degree up to eleven},
journal = {Comm. Algebra},
volume = {11},
number = {8},
year = {1983},
pages = {863{\textendash}911},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20B05},
mrnumber = {695893 (84f:20005)},
mrreviewer = {Michael Klemm},
printedkey = {BM83}
}
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author = {Butler, G.},
title = {The transitive groups of degree fourteen and fifteen},
journal = {J. Symbolic Comput.},
volume = {16},
number = {5},
year = {1993},
pages = {413{\textendash}422},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B35 (20B40 68Q40)},
mrnumber = {1271082 (95e:20006)},
mrreviewer = {Gerhard Hiss},
printedkey = {But93}
}
@phdthesis{ Bra89,
author = {Bradford, R. J.},
title = {On the computation of integral bases and defects of
integrity},
school = {School of Mathematical Sciences, University of Bath},
address = {Bath},
year = {1989},
printedkey = {Bra89}
}
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author = {Beauzamy, B. and Trevisan, V. and Wang, P. S.},
title = {Polynomial factorization: sharp bounds, efficient
algorithms},
journal = {J. Symbolic Comput.},
volume = {15},
number = {4},
year = {1993},
pages = {393{\textendash}413},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40},
mrnumber = {1227929 (94m:68091)},
printedkey = {BTW93}
}
@book{ Bur55,
author = {Burnside, W.},
title = {Theory of groups of finite order},
publisher = {Dover Publications Inc.},
address = {New York},
year = {1955},
pages = {xxiv+512},
note = {Unabridged republication of the second edition,
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mrclass = {20.0X},
mrnumber = {0069818 (16,1086c)},
printedkey = {Bur55}
}
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author = {Butler, G.},
title = {Computing in permutation and matrix groups. {II}.
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journal = {Math. Comp.},
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number = {160},
year = {1982},
pages = {671{\textendash}680},
coden = {MCMPAF},
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issn = {0025-5718},
mrclass = {20-04 (20E25 20G40)},
mrnumber = {669659 (83k:20004b)},
mrreviewer = {J. D. Dixon},
keywords = {permutation groups, matrix groups;; backtrack through
stabilizer chain},
printedkey = {But82}
}
@article{ BuCa89,
author = {Butler, G. and Cannon, J.},
title = {Computing in permutation and matrix groups. {III}.
{S}ylow subgroups},
journal = {J. Symbolic Comput.},
volume = {8},
number = {3},
year = {1989},
pages = {241{\textendash}252},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20-04 (20D20)},
mrnumber = {1015649 (90i:20003)},
mrreviewer = {J. D. Dixon},
printedkey = {BC89}
}
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author = {Butler, G.},
title = {Effective computation with group homomorphisms},
journal = {J. Symbolic Comput.},
volume = {1},
number = {2},
year = {1985},
pages = {143{\textendash}157},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40 (20-04 20B99)},
mrnumber = {818875 (87b:68057)},
keywords = {permutation groups; homomorphisms},
printedkey = {But85}
}
@mastersthesis{ Cam71,
author = {Campbell, H. A.},
title = {An extension of coset enumeration},
school = {McGill University},
address = {Montreal, Canada},
year = {1971},
keywords = {finitely presented groups; subgroup presentation;
modified Todd Coxeter (mtc); program description},
printedkey = {Cam71},
type = {M. Sc. thesis}
}
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author = {Cannon, J. J.},
title = {Construction of defining relators for finite groups},
journal = {Discrete Math.},
volume = {5},
year = {1973},
pages = {105{\textendash}129},
fjournal = {Discrete Mathematics},
issn = {0012-365X},
mrclass = {20F05},
mrnumber = {0318322 (47 \#6869)},
mrreviewer = {H. S. M. Coxeter},
printedkey = {Can73}
}
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author = {Carter, R. W.},
title = {Conjugacy classes in the {W}eyl group},
journal = {Compositio Math.},
volume = {25},
year = {1972},
pages = {1{\textendash}59},
fjournal = {Compositio Mathematica},
issn = {0010-437X},
mrclass = {20H15 (17B20)},
mrnumber = {0318337 (47 \#6884)},
mrreviewer = {Juri A. Bahturin},
printedkey = {Car72}
}
@book{ Car85,
author = {Carter, R. W.},
title = {Finite groups of {L}ie type},
publisher = {John Wiley \& Sons Inc.},
series = {Pure and Applied Mathematics (New York)},
address = {New York},
year = {1985},
pages = {xii+544},
note = {Conjugacy classes and complex characters, A
Wiley-Interscience Publication},
isbn = {0-471-90554-2},
mrclass = {20G40 (20-02 20C15)},
mrnumber = {794307 (87d:20060)},
mrreviewer = {David B. Surowski},
printedkey = {Car85}
}
@book{ Car8593,
author = {Carter, R. W.},
title = {Finite groups of {L}ie type},
publisher = {John Wiley \& Sons Ltd.},
series = {Wiley Classics Library},
address = {Chichester},
year = {1993},
pages = {xii+544},
note = {Conjugacy classes and complex characters, Reprint of
the 1985 original, A Wiley-Interscience Publication},
isbn = {0-471-94109-3},
mrclass = {20C33 (20-02 20G40)},
mrnumber = {1266626 (94k:20020)},
printedkey = {Car93}
}
@article{ Car86,
author = {Carter, R. W.},
title = {Representation theory of the {$0$}-{H}ecke algebra},
journal = {J. Algebra},
volume = {104},
number = {1},
year = {1986},
pages = {89{\textendash}103},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C15 (16A65 20G05)},
mrnumber = {865891 (88a:20014)},
mrreviewer = {David Benson},
printedkey = {Car86}
}
@book{ Car72a,
author = {Carter, R. W.},
title = {Simple groups of {L}ie type},
publisher = {John Wiley \& Sons, London-New York-Sydney},
year = {1972},
pages = {viii+331},
note = {Pure and Applied Mathematics, Vol. 28},
mrclass = {20G15 (20D05 22E20)},
mrnumber = {0407163 (53 \#10946)},
mrreviewer = {Louis Solomon},
printedkey = {Car72}
}
@book{ Car72a89,
author = {Carter, R. W.},
title = {Simple groups of {L}ie type},
publisher = {John Wiley \& Sons Inc.},
series = {Wiley Classics Library},
address = {New York},
year = {1989},
pages = {x+335},
note = {Reprint of the 1972 original, A Wiley-Interscience
Publication},
isbn = {0-471-50683-4},
mrclass = {20-02 (20D05 20E32 20G15 20G40 22-02)},
mrnumber = {1013112 (90g:20001)},
printedkey = {Car89}
}
@mastersthesis{ Cel92,
author = {Celler, F.},
title = {Kohomologie und {N}ormalisatoren in {GAP}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1992},
printedkey = {Cel92},
type = {Diplomarbeit}
}
@article{ CNW90,
author = {Celler, F. and Neub{\"u}ser, J. and Wright, C. R. B.},
title = {Some remarks on the computation of complements and
normalizers in soluble groups},
journal = {Acta Appl. Math.},
volume = {21},
number = {1-2},
year = {1990},
pages = {57{\textendash}76},
coden = {AAMADV},
fjournal = {Acta Applicandae Mathematicae. An International Survey
Journal on Applying Mathematics and Mathematical
Applications},
issn = {0167-8019},
mrclass = {20D10 (20-04)},
mrnumber = {1085773 (91m:20026)},
mrreviewer = {Michael C. Slattery},
printedkey = {CNW90}
}
@article{ Cha92,
author = {Charney, R.},
title = {Artin groups of finite type are biautomatic},
journal = {Math. Ann.},
volume = {292},
number = {4},
year = {1992},
pages = {671{\textendash}683},
coden = {MAANA},
fjournal = {Mathematische Annalen},
issn = {0025-5831},
mrclass = {20F36 (20F10)},
mrnumber = {1157320 (93c:20067)},
mrreviewer = {D. F. Holt},
printedkey = {Cha92}
}
@article{ Cla97,
author = {Clausen, M.},
title = {A direct proof of {M}inkwitz's extension theorem},
journal = {Appl. Algebra Engrg. Comm. Comput.},
volume = {8},
number = {4},
year = {1997},
pages = {305{\textendash}306},
coden = {AAECEW},
fjournal = {Applicable Algebra in Engineering, Communication and
Computing},
issn = {0938-1279},
mrclass = {20C15},
mrnumber = {1464791},
printedkey = {Cla97}
}
@book{ Coh93,
author = {Cohen, H.},
title = {A course in computational algebraic number theory},
publisher = {Springer-Verlag},
series = {Graduate Texts in Mathematics},
volume = {138},
address = {Berlin},
year = {1993},
pages = {xii+534},
isbn = {3-540-55640-0},
mrclass = {11Y40 (11Rxx 68Q40)},
mrnumber = {1228206 (94i:11105)},
mrreviewer = {Joe P. Buhler},
printedkey = {Coh93}
}
@article{ Con90a,
author = {Conlon, S. B.},
title = {Calculating characters of {$p$}-groups},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {535{\textendash}550},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20C40 (20C15 20D15)},
mrnumber = {1075421 (91j:20033)},
mrreviewer = {Michael C. Slattery},
printedkey = {Con90}
}
@article{ Con90b,
author = {Conlon, S. B.},
title = {Computing modular and projective character degrees of
soluble groups},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {551{\textendash}570},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20C40 (20C15 20C20)},
mrnumber = {1075422 (91j:20034)},
mrreviewer = {Michael C. Slattery},
printedkey = {Con90}
}
@book{ CCN85,
author = {Conway, J. H. and Curtis, R. T. and Norton, S. P. and
Parker, R. A. and Wilson, R. A.},
title = {Atlas of finite groups},
publisher = {Oxford University Press},
address = {Eynsham},
year = {1985},
pages = {xxxiv+252},
note = {Maximal subgroups and ordinary characters for simple
groups, With computational assistance from J. G.
Thackray},
isbn = {0-19-853199-0},
mrclass = {20D05 (20-02)},
mrnumber = {827219 (88g:20025)},
mrreviewer = {R. L. Griess},
printedkey = {CCNPW85}
}
@article{ ConwayHulpkeMcKay98,
author = {Conway, J. H. and Hulpke, A. and McKay, J.},
title = {On transitive permutation groups},
journal = {LMS J. Comput. Math.},
volume = {1},
year = {1998},
pages = {1{\textendash}8 (electronic)},
fjournal = {LMS Journal of Computation and Mathematics},
issn = {1461-1570},
mrclass = {20B05 (20B40)},
mrnumber = {1635715 (99g:20011)},
mrreviewer = {D. F. Holt},
printedkey = {CHM98}
}
@article{ CF94,
author = {Cooperman, G. and Finkelstein, L.},
title = {A random base change algorithm for permutation groups},
journal = {J. Symbolic Comput.},
volume = {17},
number = {6},
year = {1994},
pages = {513{\textendash}528},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40 (20B07)},
mrnumber = {1300351 (96a:68048)},
printedkey = {CF94}
}
@book{ CLR90,
author = {Cormen, T. H. and Leiserson, C. E. and Rivest, R. L.},
title = {Introduction to algorithms},
publisher = {MIT Press},
series = {The MIT Electrical Engineering and Computer Science
Series},
address = {Cambridge, MA},
year = {1990},
pages = {xx+1028},
isbn = {0-262-03141-8},
mrclass = {68-01 (05-01 05C85 68Q25)},
mrnumber = {1066870 (91i:68001)},
mrreviewer = {Selim G. Akl},
printedkey = {CLR90}
}
@article{ CRDQ11,
author = {Quick, M.},
title = {The primitive permutation groups of degree less than
4096},
journal = {Comm. Algebra},
volume = {39},
number = {10},
year = {2011},
pages = {3526{\textendash}3546},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20B15},
mrnumber = {2845584},
mrreviewer = {Thomas Michael Keller},
printedkey = {Qui11}
}
@book{ coxlittleoshea,
author = {Cox, D. and Little, J. and O'Shea, D.},
title = {Ideals, varieties, and algorithms},
publisher = {Springer-Verlag},
edition = {Second},
series = {Undergraduate Texts in Mathematics},
address = {New York},
year = {1997},
pages = {xiv+536},
note = {An introduction to computational algebraic geometry
and commutative algebra},
isbn = {0-387-94680-2},
mrclass = {13P10 (13-01 14-01 14Qxx 68Q40)},
mrnumber = {1417938 (97h:13024)},
printedkey = {CLO97}
}
@book{ CR81,
author = {Curtis, C. W. and Reiner, I.},
title = {Methods of representation theory. {V}ol. {I}},
publisher = {John Wiley \& Sons Inc.},
address = {New York},
year = {1981},
pages = {xxi+819},
note = {With applications to finite groups and orders, Pure
and Applied Mathematics, A Wiley-Interscience
Publication},
isbn = {0-471-18994-4},
mrclass = {20-02 (10C30 12A57 20Cxx)},
mrnumber = {632548 (82i:20001)},
mrreviewer = {J. L. Alperin},
printedkey = {CR81}
}
@book{ CR87,
author = {Curtis, C. W. and Reiner, I.},
title = {Methods of representation theory. {V}ol. {II}},
publisher = {John Wiley \& Sons Inc.},
series = {Pure and Applied Mathematics (New York)},
address = {New York},
year = {1987},
pages = {xviii+951},
note = {With applications to finite groups and orders, A
Wiley-Interscience Publication},
isbn = {0-471-88871-0},
mrclass = {20-02 (11Exx 18F25 19A31 19B28 19C99 20Cxx)},
mrnumber = {892316 (88f:20002)},
mrreviewer = {J. L. Alperin},
printedkey = {CR87}
}
@article{ Del72,
author = {Deligne, P.},
title = {Les immeubles des groupes de tresses
g{\a'e}n{\a'e}ralis{\a'e}s},
journal = {Invent. Math.},
volume = {17},
year = {1972},
pages = {273{\textendash}302},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
mrclass = {32C40 (55A25)},
mrnumber = {0422673 (54 \#10659)},
mrreviewer = {Alan H. Durfee},
printedkey = {Del72}
}
@article{ Deo89,
author = {Deodhar, V. V.},
title = {A note on subgroups generated by reflections in
{C}oxeter groups},
journal = {Arch. Math. (Basel)},
volume = {53},
number = {6},
year = {1989},
pages = {543{\textendash}546},
coden = {ACVMAL},
fjournal = {Archiv der Mathematik},
issn = {0003-889X},
mrclass = {20H15 (20F55)},
mrnumber = {1023969 (91c:20063)},
mrreviewer = {Fran{\c c}ois Digne},
printedkey = {Deo89}
}
@article{ Dix67,
author = {Dixon, J. D.},
title = {High speed computation of group characters},
journal = {Numer. Math.},
volume = {10},
year = {1967},
pages = {446{\textendash}450},
fjournal = {Numerische Mathematik},
issn = {0029-599X},
mrclass = {20.80 (65.00)},
mrnumber = {0224726 (37 \#325)},
mrreviewer = {D. H. Lehmer},
printedkey = {Dix67}
}
@article{ DixonMortimer88,
author = {Dixon, J. D. and Mortimer, B.},
title = {The primitive permutation groups of degree less than
{$1000$}},
journal = {Math. Proc. Cambridge Philos. Soc.},
volume = {103},
number = {2},
year = {1988},
pages = {213{\textendash}238},
coden = {MPCPCO},
fjournal = {Mathematical Proceedings of the Cambridge
Philosophical Society},
issn = {0305-0041},
mrclass = {20B10 (20B15 20B20)},
mrnumber = {923674 (89b:20014)},
mrreviewer = {Wolfgang Knapp},
printedkey = {DM88}
}
@incollection{ Dix93,
author = {Dixon, J. D.},
editor = {Finkelstein, L. and Kantor, W. M.},
booktitle = {Groups and computation (New Brunswick, NJ, 1991)},
title = {Constructing representations of finite groups},
publisher = {Amer. Math. Soc.},
series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
volume = {11},
address = {Providence, RI},
year = {1993},
pages = {105{\textendash}112},
crossref = {DIMACS},
isbn = {0-8218-6599-4},
mrclass = {20C15 (20C30)},
mrnumber = {1235797 (94h:20011)},
mrreviewer = {Peter Fleischmann},
printedkey = {Dix93}
}
@article{ Dre69,
author = {Dress, A.},
title = {A characterisation of solvable groups},
journal = {Math. Z.},
volume = {110},
year = {1969},
pages = {213{\textendash}217},
fjournal = {Mathematische Zeitschrift},
issn = {0025-5874},
mrclass = {20.80},
mrnumber = {0248239 (40 \#1491)},
mrreviewer = {R. Schmidt},
printedkey = {Dre69}
}
@manual{ DuC91,
author = {DuCloux, F.},
title = {Coxeter Version 1.0},
organization = {Universit{\a'e} de Lyon},
address = {Lyon, France},
year = {1991},
printedkey = {DuC91}
}
@article{ Dye90,
author = {Dyer, M.},
title = {Reflection subgroups of {C}oxeter systems},
journal = {J. Algebra},
volume = {135},
number = {1},
year = {1990},
pages = {57{\textendash}73},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20F55 (17B20 20H15)},
mrnumber = {1076077 (91j:20100)},
mrreviewer = {Robert B{\a'e}dard},
printedkey = {Dye90}
}
@article{ EHR91,
author = {Epstein, D. B. A. and Holt, D. F. and Rees, S. E.},
title = {The use of {K}nuth-{B}endix methods to solve the word
problem in automatic groups},
journal = {J. Symbolic Comput.},
volume = {12},
number = {4-5},
year = {1991},
pages = {397{\textendash}414},
note = {Computational group theory, Part 2},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40 (03D40 20F10)},
mrnumber = {1146506 (92m:68052)},
mrreviewer = {Klaus Madlener},
printedkey = {EHR91}
}
@incollection{ Eick97,
author = {Eick, B.},
editor = {Finkelstein, L. and Kantor, W. M.},
booktitle = {Groups and computation, II (New Brunswick, NJ, 1995)},
title = {Special presentations for finite soluble groups and
computing (pre-){F}rattini subgroups},
publisher = {Amer. Math. Soc.},
series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
volume = {28},
address = {Providence, RI},
year = {1997},
pages = {101{\textendash}112},
crossref = {DIMACS2},
isbn = {0-8218-0516-9},
mrclass = {20D10 (20-04)},
mrnumber = {1444133 (99a:20014)},
printedkey = {Eic97}
}
@article{ EGN97,
author = {Eick, B. and G{\"a}hler, F. and Nickel, W.},
title = {Computing maximal subgroups and {W}yckoff positions of
space groups},
journal = {Acta Cryst. Sect. A},
volume = {53},
number = {4},
year = {1997},
pages = {467{\textendash}474},
coden = {ACACEQ},
fjournal = {Acta Crystallographica. Section A: Foundations of
Crystallography},
issn = {0108-7673},
mrclass = {20H15 (82D25)},
mrnumber = {1461658 (98g:20080)},
mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}},
printedkey = {EGN97}
}
@article{ EickHoefling02,
author = {Eick, B. and H{\"o}fling, B.},
title = {The solvable primitive permutation groups of degree at
most 6560},
journal = {LMS J. Comput. Math.},
volume = {6},
year = {2003},
pages = {29{\textendash}39 (electronic)},
fjournal = {LMS Journal of Computation and Mathematics},
issn = {1461-1570},
mrclass = {20B15},
mrnumber = {1971491 (2004a:20005)},
mrreviewer = {Xianhua Li},
printedkey = {EH03}
}
@inproceedings{ EickHulpke01,
author = {Eick, B. and Hulpke, A.},
title = {Computing the maximal subgroups of a permutation group
{I}},
pages = {155{\textendash}168},
crossref = {DIMACS3},
printedkey = {EH}
}
@article{ Ellis98,
author = {Ellis, G.},
title = {On the capability of groups},
journal = {Proc. Edinburgh Math. Soc. (2)},
volume = {41},
number = {3},
year = {1998},
pages = {487{\textendash}495},
coden = {PRMSA3},
fjournal = {Proceedings of the Edinburgh Mathematical Society.
Series II},
issn = {0013-0915},
mrclass = {20E22 (20F28 20J05)},
mrnumber = {1697585 (2000e:20053)},
mrreviewer = {J. Wiegold},
printedkey = {Ell98}
}
@book{ ECHLPT92,
author = {Epstein, D. B. A. and Cannon, J. W. and Holt, D. F.
and Levy, S. V. F. and Paterson, M. S. and Thurston,
W. P.},
title = {Word processing in groups},
publisher = {Jones and Bartlett Publishers},
address = {Boston, MA},
year = {1992},
pages = {xii+330},
isbn = {0-86720-244-0},
mrclass = {20F10 (03D40 20-02 68Q70)},
mrnumber = {1161694 (93i:20036)},
mrreviewer = {Richard M. Thomas},
printedkey = {ECHLPT92}
}
@incollection{ FJNT95,
author = {Felsch, V. and Johnson, D. L. and Neub{\"u}ser, J. and
Tsaranov, S. V.},
booktitle = {Groups '93 Galway/St Andrews, Vol. 1 (Galway, 1993)},
title = {The structure of certain {C}oxeter groups},
publisher = {Cambridge Univ. Press},
series = {London Math. Soc. Lecture Note Ser.},
volume = {211},
address = {Cambridge},
year = {1995},
pages = {177{\textendash}190},
mrclass = {20F05 (20F55)},
mrnumber = {1342790 (96d:20028)},
mrreviewer = {Daan Krammer},
printedkey = {FJNT95}
}
@incollection{ FS84,
author = {Felsch, V. and Sandl{\"o}bes, G.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {An interactive program for computing subgroups},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {137{\textendash}143},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20-04 (20D10 68Q99)},
mrnumber = {760655 (85k:20003)},
keywords = {groups; subgroup lattice, table of marks; cyclic
extensions; program description},
printedkey = {FS84}
}
@incollection{ FelschNeubueser79,
author = {Felsch, V. and Neub{\"u}ser, J.},
editor = {Ng, E. W.},
booktitle = {Symbolic and algebraic computation (EUROSAM '79,
Internat. Sympos., Marseille, 1979)},
title = {An algorithm for the computation of conjugacy classes
and centralizers in {$p$}-groups},
publisher = {Springer},
series = {Lecture Notes in Comput. Sci.},
volume = {72},
address = {Berlin},
year = {1979},
pages = {452{\textendash}465},
crossref = {EUROSAM79},
note = {EUROSAM '79, an International Symposium held in
Marseille, June 1979},
isbn = {3-540-09519-5},
mrclass = {20-04},
mrnumber = {575705 (82d:20003)},
mrreviewer = {Colin M. Campbell},
printedkey = {FN79}
}
@article{ Fon62,
author = {Fong, P.},
title = {Solvable groups and modular representation theory},
journal = {Trans. Amer. Math. Soc.},
volume = {103},
year = {1962},
pages = {484{\textendash}494},
fjournal = {Transactions of the American Mathematical Society},
issn = {0002-9947},
mrclass = {20.80},
mrnumber = {0139667 (25 \#3098)},
mrreviewer = {D. E. Littlewood},
printedkey = {Fon62}
}
@article{ Fra82,
author = {Frame, J. S.},
title = {Recursive computation of tensor power components},
journal = {Bayreuth. Math. Schr.},
volume = {10},
year = {1982},
pages = {153{\textendash}159},
fjournal = {Bayreuther Mathematische Schriften},
issn = {0172-1062},
mrclass = {20-04 (20C15)},
mrnumber = {667230 (84a:20001)},
mrreviewer = {J. McKay},
printedkey = {Fra82}
}
@manual{ GAP449,
title = {{GAP{\textendash}Groups, Algorithms, and Programming,
Version 4.4.9}},
organization = {The GAP{\nobreakspace}Group},
year = {2006},
key = {GAP},
url = {\href {https://www.gap-system.org}
{\texttt{https://www.gap-system.org}}},
keywords = {groups; *; gap; manual}
}
@manual{ GAP4,
title = {{GAP{\textendash}Groups, Algorithms, and Programming,
Version 4.4}},
organization = {The GAP{\nobreakspace}Group},
year = {2004},
note = {\href {https://www.gap-system.org}
{\texttt{https://www.gap-system.org}}},
key = {GAP},
keywords = {groups; *; gap; manual}
}
@article{ Gar69,
author = {Garside, F. A.},
title = {The braid group and other groups},
journal = {Quart. J. Math. Oxford Ser. (2)},
volume = {20},
year = {1969},
pages = {235{\textendash}254},
fjournal = {The Quarterly Journal of Mathematics. Oxford. Second
Series},
mrclass = {55.20},
mrnumber = {0248801 (40 \#2051)},
mrreviewer = {L. Neuwirth},
printedkey = {Gar69}
}
@article{ Gec94,
author = {Geck, M.},
title = {On the character values of {I}wahori-{H}ecke algebras
of exceptional type},
journal = {Proc. London Math. Soc. (3)},
volume = {68},
number = {1},
year = {1994},
pages = {51{\textendash}76},
coden = {PLMTAL},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
issn = {0024-6115},
mrclass = {20F55 (20C15)},
mrnumber = {1243835 (94i:20073)},
mrreviewer = {Fran{\c c}ois Digne},
printedkey = {Gec94}
}
@book{ Gec95,
author = {Geck, M.},
title = {Beitr{\"a}ge zur {D}arstellungstheorie von
{I}wahori-{H}ecke {A}lgebren},
publisher = {Verlag der Augustinus Buchhandlung, Aachen},
series = {Aachener Beitr{\"a}ge zur Mathematik},
volume = {11},
year = {1995},
printedkey = {Gec95}
}
@article{ GK96,
author = {Geck, M. and Kim, S.},
title = {Bases for the {B}ruhat-{C}hevalley order on all finite
{C}oxeter groups},
journal = {J. Algebra},
volume = {197},
number = {1},
year = {1997},
pages = {278{\textendash}310},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20F55 (06A07)},
mrnumber = {1480786 (98k:20066)},
mrreviewer = {Andrew Mathas},
printedkey = {GK97}
}
@article{ GM97,
author = {Geck, M. and Michel, J.},
title = {``{G}ood'' elements of finite {C}oxeter groups and
representations of {I}wahori-{H}ecke algebras},
journal = {Proc. London Math. Soc. (3)},
volume = {74},
number = {2},
year = {1997},
pages = {275{\textendash}305},
coden = {PLMTAL},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
issn = {0024-6115},
mrclass = {20F55 (20C20)},
mrnumber = {1425324 (97i:20050)},
mrreviewer = {Stephen P. Humphries},
printedkey = {GM97}
}
@article{ GP93,
author = {Geck, M. and Pfeiffer, G.},
title = {On the irreducible characters of {H}ecke algebras},
journal = {Adv. Math.},
volume = {102},
number = {1},
year = {1993},
pages = {79{\textendash}94},
coden = {ADMTA4},
fjournal = {Advances in Mathematics},
issn = {0001-8708},
mrclass = {20C15},
mrnumber = {1250466 (94m:20018)},
mrreviewer = {Hiroshi Naruse},
printedkey = {GP93}
}
@article{ Chv96,
author = {Geck, M. and Hiss, G. and L{\"u}beck, F. and Malle, G.
and Pfeiffer, G.},
title = {C{HEVIE}{\textendash}a system for computing and
processing generic character tables},
journal = {Appl. Algebra Engrg. Comm. Comput.},
volume = {7},
number = {3},
year = {1996},
pages = {175{\textendash}210},
note = {Computational methods in Lie theory (Essen, 1994)},
coden = {AAECEW},
fjournal = {Applicable Algebra in Engineering, Communication and
Computing},
issn = {0938-1279},
mrclass = {20C40 (20C33)},
mrnumber = {1486215 (99m:20017)},
printedkey = {GHLMP96}
}
@phdthesis{ Gla87,
author = {Glasby, S. P.},
title = {Computational Approaches to the Theory of Finite
Soluble Groups},
school = {Department of Pure Mathematics, University of Sydney},
address = {Sydney, Australia},
year = {1987},
printedkey = {Gla87},
type = {Phd thesis}
}
@article{ GS90,
author = {Glasby, S. P. and Slattery, M. C.},
title = {Computing intersections and normalizers in soluble
groups},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {637{\textendash}651},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20D10},
mrnumber = {1075428 (91j:20044)},
mrreviewer = {Patrizia Longobardi},
printedkey = {GS90}
}
@book{ GKP90,
author = {Graham, R. L. and Knuth, D. E. and Patashnik, O.},
title = {Concrete mathematics},
publisher = {Addison-Wesley Publishing Company Advanced Book
Program},
address = {Reading, MA},
year = {1989},
pages = {xiv+625},
note = {A foundation for computer science},
isbn = {0-201-14236-8},
mrclass = {00A05 (00-01 05-01 68-01 68Rxx)},
mrnumber = {1001562 (91f:00001)},
mrreviewer = {Volker Strehl},
printedkey = {GKP89}
}
@article{ HalvRam94,
author = {Halverson, T. and Ram, A.},
title = {Murnaghan-{N}akayama rules for characters of
{I}wahori-{H}ecke algebras of classical type},
journal = {Trans. Amer. Math. Soc.},
volume = {348},
number = {10},
year = {1996},
pages = {3967{\textendash}3995},
coden = {TAMTAM},
fjournal = {Transactions of the American Mathematical Society},
issn = {0002-9947},
mrclass = {20C15},
mrnumber = {1322951 (96m:20011)},
mrreviewer = {Fran{\c c}ois Digne},
printedkey = {HR96}
}
@book{ Hah83,
editor = {Hahn, T.},
title = {International tables for crystallography. {V}ol. {A}},
publisher = {Published for International Union of Crystallography,
Chester},
year = {1983},
pages = {xv+854},
note = {Space-group symmetry},
isbn = {90-277-1445-2},
mrclass = {82A60 (00A69 20C35 20H15 82-02)},
mrnumber = {817988 (87i:82092)},
mrreviewer = {Vojt{\v e}ch Kopsk{\a'y}},
printedkey = {Hah83}
}
@book{ Hah95,
editor = {Hahn, T.},
booktitle = {International Tables for Crystallography,
\texttt{\symbol{123}}V\texttt{\symbol{125}}ol.
\texttt{\symbol{123}}A\texttt{\symbol{125}}},
title = {International Tables for Crystallography, {V}ol. {A}},
publisher = {Kluwer, Dordrecht},
edition = {4th},
year = {1995},
note = {Space-group symmetry},
printedkey = {Hah95}
}
@book{ Hall,
author = {Hall Jr., M.},
title = {The theory of groups},
publisher = {The Macmillan Co.},
address = {New York, N.Y.},
year = {1959},
pages = {xiii+434},
mrclass = {20.00},
mrnumber = {0103215 (21 \#1996)},
mrreviewer = {R. H. Bruck},
printedkey = {HJ59}
}
@book{ HS64,
author = {Hall Jr., M. and Senior, J. K.},
title = {The groups of order {$2^{n} (n \leq 6)$}},
publisher = {The Macmillan Co.},
address = {New York},
year = {1964},
pages = {225},
mrclass = {20.00},
mrnumber = {0168631 (29 \#5889)},
mrreviewer = {Michael Rosen},
printedkey = {JS64}
}
@article{ Hal36,
author = {Hall, P.},
title = {The {E}ulerian functions of a group},
journal = {Quarterly J. Of Mathematics},
volume = {os-7},
number = {1},
year = {1936},
pages = {134{\textendash}151},
printedkey = {Hal36}
}
@phdthesis{ Han88,
author = {Hanrath, W.},
title = {Irreduzible {D}arstellungen von {R}aumgruppen},
school = {Rheinisch Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1988},
printedkey = {Han88},
type = {Dissertation}
}
@techreport{ Hav69,
author = {Havas, G.},
title = {Symbolic and Algebraic Calculation},
institution = {Basser Department of Computer Science, University of
Sydney},
number = {89},
address = {Sydney, Australia},
year = {1969},
keywords = {finitely presented groups; simplification; Tietze
transformations},
printedkey = {Hav69},
type = {Basser Computing Dept., Technical Report}
}
@inproceedings{ Hav74b,
author = {Havas, G.},
editor = {Newman, M. F.},
booktitle = {Proceedings of the Second International Conference on
the Theory of Groups (Australian Nat. Univ., Canberra,
1973)},
title = {A {R}eidemeister-{S}chreier program},
publisher = {Springer},
series = {Lecture Notes in Math.},
volume = {372},
address = {Berlin},
year = {1974},
pages = {347{\textendash}356. Lecture Notes in Math., Vol. 372},
crossref = {Canberra73},
note = {Held at the Australian National University, Canberra,
August 13{\textendash}24, 1973, With an introduction
by B. H. Neumann, Lecture Notes in Mathematics, Vol.
372},
mrclass = {20-04},
mrnumber = {0376827 (51 \#13002)},
mrreviewer = {F. Levin},
reviews = {MR 49\#9054, Zbl 282.00012},
keywords = {finitely presented groups; subgroup presentation;
Reidemeister Schreier (rs); program description},
printedkey = {Hav74}
}
@inproceedings{ Hav91,
author = {Havas, G.},
booktitle = {Proceedings of the International Symposium on Symbolic
and Algebraic Computation (ISSAC'91), Bonn 1991},
title = {Coset enumeration strategies},
publisher = {ACM Press},
year = {1991},
pages = {191{\textendash}199},
crossref = {ISSAC91},
printedkey = {Hav91}
}
@article{ HM97,
author = {Havas, G. and Majewski, B. S.},
title = {Integer matrix diagonalization},
journal = {J. Symbolic Comput.},
volume = {24},
number = {3-4},
year = {1997},
pages = {399{\textendash}408},
note = {Computational algebra and number theory (London, 1993)},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {65F30 (65Y20)},
mrnumber = {1484488 (98g:65039)},
printedkey = {HM97}
}
@incollection{ HN80,
author = {Havas, G. and Newman, M. F.},
editor = {Mennicke, J. L.},
booktitle = {Burnside groups (Proc. Workshop, Univ. Bielefeld,
Bielefeld, 1977)},
title = {Application of computers to questions like those of
{B}urnside},
publisher = {Springer},
series = {Lecture Notes in Math.},
volume = {806},
address = {Berlin},
year = {1980},
pages = {211{\textendash}230},
crossref = {Bielefeld77},
isbn = {3-540-10006-7},
mrclass = {20-04 (20F50)},
mrnumber = {586047 (82d:20002)},
mrreviewer = {Colin M. Campbell},
reviews = {MR 81j:20002, Zbl 424.00008},
keywords = {finitely presentend groups; Burnside groups; nilpotent
quotient},
printedkey = {HN80}
}
@incollection{ HKRR84,
author = {Havas, G. and Kenne, P. E. and Richardson, J. S. and
Robertson, E. F.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {A {T}ietze transformation program},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {69{\textendash}73},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20F05 (20-04)},
mrnumber = {760651 (86b:20039)},
keywords = {finitely presented groups; simplification; Tietze},
printedkey = {HKRR84}
}
@article{ HIO89,
author = {Hawkes, T. and Isaacs, I. M. and {\"O}zaydin, M.},
title = {On the {M}{\"o}bius function of a finite group},
journal = {Rocky Mountain J. Math.},
volume = {19},
number = {4},
year = {1989},
pages = {1003{\textendash}1034},
coden = {RMJMAE},
fjournal = {The Rocky Mountain Journal of Mathematics},
issn = {0035-7596},
mrclass = {20D30},
mrnumber = {1039540 (90k:20046)},
mrreviewer = {David Gluck},
printedkey = {HI{\"O}89}
}
@misc{ HJLP92,
author = {Hiss, G. and Jansen, C. and Lux, K. and Parker, R. A.},
title = {Computational {M}odular {C}haracter {T}heory},
howpublished = {\href {http://www.math.rwth-aachen.de/~MOC/CoMoChaT/}
{\texttt{http://www.math.rwth-aachen.de/}\discretionary
{}{}{}\texttt{\texttt{\symbol{126}}MOC/}\discretionary
{}{}{}\texttt{CoMoChaT/}}},
printedkey = {HJLP}
}
@incollection{ Holt94,
author = {Holt, D. F.},
booktitle = {Geometric and computational perspectives on infinite
groups (Minneapolis, MN and New Brunswick, NJ, 1994)},
title = {The {W}arwick automatic groups software},
publisher = {Amer. Math. Soc.},
series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
volume = {25},
address = {Providence, RI},
year = {1996},
pages = {69{\textendash}82},
mrclass = {20F10 (03D40 20-04 68Q40)},
mrnumber = {1364180 (96m:20052)},
mrreviewer = {Sarah E. Rees},
printedkey = {Hol96}
}
@article{ HLOR96a,
author = {Holt, D. F. and Leedham-Green, C. R. and O'Brien, E.
A. and Rees, S.},
title = {Computing matrix group decompositions with respect to
a normal subgroup},
journal = {J. Algebra},
volume = {184},
number = {3},
year = {1996},
pages = {818{\textendash}838},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C40 (20B40)},
mrnumber = {1407872 (97m:20021)},
mrreviewer = {Wolfgang Lempken},
printedkey = {HLOR96}
}
@article{ HLOR96b,
author = {Holt, D. F. and Leedham-Green, C. R. and O'Brien, E.
A. and Rees, S.},
title = {Testing matrix groups for primitivity},
journal = {J. Algebra},
volume = {184},
number = {3},
year = {1996},
pages = {795{\textendash}817},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C40 (20B40)},
mrnumber = {1407871 (97m:20020)},
mrreviewer = {Wolfgang Lempken},
printedkey = {HLOR96}
}
@book{ HP89,
author = {Holt, D. F. and Plesken, W.},
title = {Perfect groups},
publisher = {The Clarendon Press Oxford University Press},
series = {Oxford Mathematical Monographs},
address = {New York},
year = {1989},
pages = {xii+364},
note = {With an appendix by W. Hanrath, Oxford Science
Publications},
isbn = {0-19-853559-7},
mrclass = {20D05 (20F05)},
mrnumber = {1025760 (91c:20029)},
mrreviewer = {M. Ram Murty},
printedkey = {HP89}
}
@article{ HR94,
author = {Holt, D. F. and Rees, S.},
title = {Testing modules for irreducibility},
journal = {J. Austral. Math. Soc. Ser. A},
volume = {57},
number = {1},
year = {1994},
pages = {1{\textendash}16},
coden = {JAMADS},
fjournal = {Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics},
issn = {0263-6115},
mrclass = {20C40},
mrnumber = {1279282 (95e:20023)},
mrreviewer = {Herbert Pahlings},
printedkey = {HR94}
}
@book{ HEO05,
author = {Holt, D. F. and Eick, B. and O'Brien, E. A.},
title = {Handbook of Computational Group Theory},
publisher = {Chapman {\nobreakspace} Hall/CRC},
series = {Discrete mathematics and its applications},
address = {New York},
year = {2005},
isbn = {1-584-88372-3},
printedkey = {HEO05}
}
@incollection{ HR99a,
author = {Havas, G. and Ramsay, C.},
editor = {Kantor, W. M. and Seress, {\a'A}.},
booktitle = {Groups and computation, III (Columbus, OH, 1999)},
title = {Experiments in coset enumeration},
publisher = {de Gruyter},
series = {Ohio State Univ. Math. Res. Inst. Publ.},
volume = {8},
address = {Berlin},
year = {2001},
pages = {183{\textendash}192},
crossref = {DIMACS3},
isbn = {3-11-016721-2},
mrclass = {20F05 (20-04)},
mrnumber = {1829479 (2002e:20064)},
mrreviewer = {Sarah E. Rees},
printedkey = {HR01}
}
@article{ HR99b,
author = {Havas, G. and Ramsay, C.},
title = {Proving a group trivial made easy: a case study in
coset enumeration},
journal = {Bull. Austral. Math. Soc.},
volume = {62},
number = {1},
year = {2000},
pages = {105{\textendash}118},
coden = {ALNBAB},
fjournal = {Bulletin of the Australian Mathematical Society},
issn = {0004-9727},
mrclass = {20F05},
mrnumber = {1775892 (2002j:20061)},
mrreviewer = {E. F. Robertson},
printedkey = {HR00}
}
@book{ Howie76,
author = {Howie, J. M.},
title = {An introduction to semigroup theory},
publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]},
address = {London},
year = {1976},
pages = {x+272},
note = {L.M.S. Monographs, No. 7},
mrclass = {20MXX},
mrnumber = {0466355 (57 \#6235)},
mrreviewer = {T. E. Hall},
printedkey = {How76}
}
@mastersthesis{ Hulpke93,
author = {Hulpke, A.},
title = {{Zur Berechnung von Charaktertafeln}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
year = {1993},
printedkey = {Hul93},
type = {Diplomarbeit}
}
@phdthesis{ Hulpke96,
author = {Hulpke, A.},
title = {Konstruktion transitiver {P}ermutationsgruppen},
publisher = {Verlag der Augustinus Buchhandlung, Aachen},
school = {Rheinisch Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1996},
printedkey = {Hul96},
type = {Dissertation}
}
@inproceedings{ Hulpke98,
author = {Hulpke, A.},
booktitle = {Proceedings of the 1998 International Symposium on
Symbolic and Algebraic Computation (Rostock)},
title = {Computing normal subgroups},
publisher = {ACM},
address = {New York},
year = {1998},
pages = {194{\textendash}198 (electronic)},
crossref = {ISSAC98},
note = {Chairman: Volker Weispfenning and Barry Trager},
isbn = {1-58113-002-3},
location = {Rostock, Germany},
mrclass = {20-04 (68W30)},
mrnumber = {1805183},
source = {ACM Order No.: 505980, ACM member price \$25},
printedkey = {Hul98}
}
@article{ Hulpke99,
author = {Hulpke, A.},
title = {Computing subgroups invariant under a set of
automorphisms},
journal = {J. Symbolic Comput.},
volume = {27},
number = {4},
year = {1999},
pages = {415{\textendash}427},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20-04 (20D30)},
mrnumber = {1681348 (2000a:20001)},
mrreviewer = {D. F. Holt},
printedkey = {Hul99}
}
@article{ HulpkeClasses,
author = {Hulpke, A.},
title = {Conjugacy classes in finite permutation groups via
homomorphic images},
journal = {Math. Comp.},
volume = {69},
number = {232},
year = {2000},
pages = {1633{\textendash}1651},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20B40},
mrnumber = {1659847 (2001a:20006)},
mrreviewer = {Alberto Delgado},
printedkey = {Hul00}
}
@article{ HulpkeQuot,
author = {Hulpke, A.},
title = {Representing subgroups of finitely presented groups by
quotient subgroups},
journal = {Experiment. Math.},
volume = {10},
number = {3},
year = {2001},
pages = {369{\textendash}381},
fjournal = {Experimental Mathematics},
issn = {1058-6458},
mrclass = {20F05 (20C34 20C40 68W30)},
mrnumber = {1917425 (2003i:20049)},
mrreviewer = {Dmitrii V. Pasechnik},
printedkey = {Hul01}
}
@article{ HulpkeTG,
author = {Hulpke, A.},
title = {Constructing transitive permutation groups},
journal = {J. Symbolic Comput.},
volume = {39},
number = {1},
year = {2005},
pages = {1{\textendash}30},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B10 (20B35)},
mrnumber = {2168238 (2006e:20004)},
mrreviewer = {J. Quistorff},
printedkey = {Hul05}
}
@book{ Hum72,
author = {Humphreys, J. E.},
title = {Introduction to {L}ie algebras and representation
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publisher = {Springer-Verlag},
address = {New York},
year = {1972},
pages = {xii+169},
note = {Graduate Texts in Mathematics, Vol. 9},
mrclass = {17BXX},
mrnumber = {0323842 (48 \#2197)},
mrreviewer = {F. W. Lemire},
printedkey = {Hum72}
}
@book{ Hum78,
author = {Humphreys, J. E.},
title = {Introduction to {L}ie algebras and representation
theory},
publisher = {Springer-Verlag},
series = {Graduate Texts in Mathematics},
volume = {9},
address = {New York},
year = {1978},
pages = {xii+171},
note = {Second printing, revised},
isbn = {0-387-90053-5},
mrclass = {17Bxx},
mrnumber = {499562 (81b:17007)},
mrreviewer = {I. P. Shestakov},
printedkey = {Hum78}
}
@book{ Hum90,
author = {Humphreys, J. E.},
title = {Reflection groups and {C}oxeter groups},
publisher = {Cambridge University Press},
series = {Cambridge Studies in Advanced Mathematics},
volume = {29},
address = {Cambridge},
year = {1990},
pages = {xii+204},
isbn = {0-521-37510-X},
mrclass = {20-02 (20F32 20F55 20G15 20H15)},
mrnumber = {1066460 (92h:20002)},
mrreviewer = {Louis Solomon},
printedkey = {Hum90}
}
@book{ Hum90,
author = {Humphreys, J. E.},
title = {Reflection groups and {C}oxeter groups},
publisher = {Cambridge University Press},
series = {Cambridge Studies in Advanced Mathematics},
volume = {29},
address = {Cambridge},
year = {1990},
pages = {xii+204},
isbn = {0-521-37510-X},
mrclass = {20-02 (20F32 20F55 20G15 20H15)},
mrnumber = {1066460 (92h:20002)},
mrreviewer = {Louis Solomon},
printedkey = {Hum90}
}
@book{ Hup67,
author = {Huppert, B.},
title = {Endliche {G}ruppen. {I}},
publisher = {Springer-Verlag},
series = {Die Grundlehren der Mathematischen Wissenschaften,
Band 134},
address = {Berlin},
year = {1967},
pages = {xii+793},
mrclass = {20.25},
mrnumber = {0224703 (37 \#302)},
mrreviewer = {J. H. Walter},
printedkey = {Hup67}
}
@book{ Hup82,
author = {Huppert, B. and Blackburn, N.},
title = {Finite groups. {II}},
publisher = {Springer-Verlag},
series = {Grundlehren Math. Wiss.},
volume = {242},
address = {Berlin},
year = {1982},
pages = {xiii+531},
isbn = {3-540-10632-4},
mrclass = {20-02 (20Dxx)},
mrnumber = {650245 (84i:20001a)},
printedkey = {HB82}
}
@book{ Hup98,
author = {Huppert, B.},
title = {Character theory of finite groups},
publisher = {Walter de Gruyter \& Co.},
series = {de Gruyter Expositions in Mathematics},
volume = {25},
address = {Berlin},
year = {1998},
pages = {vi+618},
isbn = {3-11-015421-8},
mrclass = {20C15 (20C05 20C10)},
mrnumber = {1645304 (99j:20011)},
mrreviewer = {Gerhard Hiss},
printedkey = {Hup98}
}
@book{ Isa76,
author = {Isaacs, I. M.},
title = {Character theory of finite groups},
publisher = {Academic Press [Harcourt Brace Jovanovich Publishers]},
address = {New York},
year = {1976},
pages = {xii+303},
note = {Pure and Applied Mathematics, No. 69},
isbn = {0-12-374550-0},
mrclass = {20-02},
mrnumber = {0460423 (57 \#417)},
mrreviewer = {Stephen D. Smith},
printedkey = {Isa76}
}
@article{ IshibashiEarnest94,
author = {Ishibashi, H. and Earnest, A. G.},
title = {Two-element generation of orthogonal groups over
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journal = {J. Algebra},
volume = {165},
number = {1},
year = {1994},
pages = {164{\textendash}171},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20G40 (20F05)},
mrnumber = {1272584 (95b:20069)},
mrreviewer = {Jia-Chen Ye},
printedkey = {IE94}
}
@article{ MR1398123,
author = {Ishibashi, H. and Earnest, A. G.},
title = {Addendum: ``{T}wo-element generation of orthogonal
groups over finite fields'' [{J}. {A}lgebra {\bf 165}
(1994), no. 1, 164{\textendash}171; {MR}1272584
(95b:20069)]},
journal = {J. Algebra},
volume = {182},
number = {3},
year = {1996},
pages = {805},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20G40 (20F05)},
mrnumber = {1398123 (97d:20061)},
printedkey = {IE96}
}
@article{ MR1305274,
author = {Ishibashi, H. and Earnest, A. G.},
title = {Erratum: ``{T}wo-element generation of orthogonal
groups over finite fields'' [{J}. {A}lgebra {\bf 165}
(1994), no. 1, 164{\textendash}171; {MR}1272584
(95b:20069)]},
journal = {J. Algebra},
volume = {170},
number = {3},
year = {1994},
pages = {1035},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20G40 (20F05)},
mrnumber = {1305274 (95h:20062)},
printedkey = {IE94}
}
@book{ JLPW95,
author = {Jansen, C. and Lux, K. and Parker, R. and Wilson, R.},
title = {An atlas of {B}rauer characters},
publisher = {The Clarendon Press Oxford University Press},
series = {London Mathematical Society Monographs. New Series},
volume = {11},
address = {New York},
year = {1995},
pages = {xviii+327},
note = {Appendix 2 by T. Breuer and S. Norton, Oxford Science
Publications},
isbn = {0-19-851481-6},
mrclass = {20C20 (20-00 20D06 20D08)},
mrnumber = {1367961 (96k:20016)},
mrreviewer = {J. L. Alperin},
printedkey = {JLPW95}
}
@book{ Joh97,
author = {Johnson, D. L.},
title = {Presentations of groups},
publisher = {Cambridge University Press},
edition = {Second},
series = {London Mathematical Society Student Texts},
volume = {15},
address = {Cambridge},
year = {1997},
pages = {xii+216},
isbn = {0-521-58542-2},
mrclass = {20-01 (20F05)},
mrnumber = {1472735 (98e:20001)},
printedkey = {Joh97}
}
@mastersthesis{ Kaup92,
author = {Kaup, A.},
title = {Gitterbasen und {C}haraktere endlicher {G}ruppen},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1992},
printedkey = {Kau92},
type = {Diplomarbeit}
}
@article{ KL79,
author = {Kazhdan, D. and Lusztig, G.},
title = {Representations of {C}oxeter groups and {H}ecke
algebras},
journal = {Invent. Math.},
volume = {53},
number = {2},
year = {1979},
pages = {165{\textendash}184},
coden = {INVMBH},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
mrclass = {20H15 (17B35 20G05 22E47)},
mrnumber = {560412 (81j:20066)},
mrreviewer = {Vinay V. Deodhar},
printedkey = {KL79}
}
@article{ KLM01,
author = {Kemper, G. and L{\"u}beck, F. and Magaard, K.},
title = {Matrix generators for the {R}ee groups {${}^2G_2(q)$}},
journal = {Comm. Algebra},
volume = {29},
number = {1},
year = {2001},
pages = {407{\textendash}413},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20C33 (20D06)},
mrnumber = {1842506 (2002e:20025)},
printedkey = {KLM01}
}
@book{ Ker91,
author = {Kerber, A.},
title = {Algebraic combinatorics via finite group actions},
publisher = {Bibliographisches Institut},
address = {Mannheim},
year = {1991},
pages = {436},
isbn = {3-411-14521-8},
mrclass = {05E10 (20C30)},
mrnumber = {1115208 (92k:05130)},
mrreviewer = {A. O. Morris},
printedkey = {Ker91}
}
@article{ KimmerleLyonsSandlingTeague90,
author = {Kimmerle, W. and Lyons, R. and Sandling, R. and
Teague, D. N.},
title = {Composition factors from the group ring and {A}rtin's
theorem on orders of simple groups},
journal = {Proc. London Math. Soc. (3)},
volume = {60},
number = {1},
year = {1990},
pages = {89--122},
coden = {PLMTAL},
fjournal = {Proceedings of the London Mathematical Society. Third
Series},
issn = {0024-6115},
mrclass = {20D06 (20C05 20D60)},
mrnumber = {1023806 (91c:20030)},
mrreviewer = {P. Fong},
printedkey = {KLST90}
}
@book{ KleidmanLiebeck90,
author = {Kleidman, P. and Liebeck, M.},
title = {The subgroup structure of the finite classical groups},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Note Series},
volume = {129},
address = {Cambridge},
year = {1990},
pages = {x+303},
isbn = {0-521-35949-X},
mrclass = {20-02 (20D06 20G40)},
mrnumber = {1057341 (91g:20001)},
mrreviewer = {R. W. Carter},
printedkey = {KL90}
}
@article{ Klimyk66,
author = {Klimyk, A. U.},
title = {Decomposition of the direct product of irreducible
representations of semisimple {L}ie algebras into
irreducible representations},
journal = {Ukrain. Mat. {\v Z}.},
volume = {18},
number = {5},
year = {1966},
pages = {19{\textendash}27},
fjournal = {Akademiya Nauk Ukrainsko{\u\i} SSR. Institut
Matematiki. Ukrainski{\u\i} Matematicheski{\u\i}
Zhurnal},
issn = {0041-6053},
mrclass = {17.30 (22.60)},
mrnumber = {0206169 (34 \#5991)},
mrreviewer = {Renzo Cirelli},
printedkey = {Kli66}
}
@incollection{ Klimyk68,
author = {Klimyk, A. U.},
booktitle = {American {M}athematical {S}ociety {T}ranslations.
{S}eries 2},
title = {Decomposition of a direct product of irreducible
representations of a semisimple {L}ie algebra into
irreducible representations},
publisher = {American Mathematical Society},
volume = {76},
address = {Providence, R.I.},
year = {1968},
pages = {63{\textendash}73},
printedkey = {Kli68}
}
@book{ TACP2,
author = {Knuth, D. E.},
title = {The Art of Computer Programming, Volume 2:
{S}eminumerical Algorithms},
publisher = {Addison-Wesley},
edition = {third},
year = {1998},
printedkey = {Knu98}
}
@book{ MR0286318,
author = {Knuth, D. E.},
title = {The art of computer programming. {V}ol. 2:
{S}eminumerical algorithms},
publisher = {Addison-Wesley Publishing Co., Reading,
Mass.-London-Don Mills, Ont},
year = {1969},
pages = {xi+624},
mrclass = {68.00 (65.00)},
mrnumber = {0286318 (44 \#3531)},
mrreviewer = {M. Muller},
printedkey = {Knu69}
}
@book{ Lau82,
author = {Laue, R.},
title = {Zur {K}onstruktion und {K}lassifikation endlicher
aufl{\"o}sbarer {G}ruppen},
journal = {Bayreuth. Math. Schr.},
publisher = {Universit{\"a}t Bayreuth},
number = {9},
year = {1982},
pages = {ii+304},
notes = {PAGES: ii + 304, 1 correction sheet, Earlier version:
Habilitationsschrift, RWTH Aachen, 1980},
fjournal = {Bayreuther Mathematische Schriften},
issn = {0172-1062},
mrclass = {20D10 (20-02)},
mrnumber = {651224 (84e:20018)},
mrreviewer = {T. O. Hawkes},
reviews = {MR 84e:20018 (T.{\nobreakspace}O. Hawkes), Zbl
479.20010 (H. Heineken)},
keywords = {polycyclic groups;;; classification},
printedkey = {Lau82}
}
@inproceedings{ SOGOS,
author = {Laue, R. and Neub{\"u}ser, J. and Schoenwaelder, U.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {Algorithms for finite soluble groups and the {SOGOS}
system},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {105{\textendash}135},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20D10 (20-04 20D15 20F05 68Q40)},
mrnumber = {760654 (86h:20023)},
mrreviewer = {Gerhard Pazderski},
reviews = {MR 86h:20023 (Gerhard Pazderski), Zbl 547:20012 (E.
Kommissartschik)},
keywords = {polycyclic groups;;; algorithm description},
printedkey = {LNS84}
}
@book{ LeC86,
author = {LeChenadec, P.},
title = {Canonical forms in finitely presented algebras},
publisher = {Pitman Publishing Ltd.},
series = {Research Notes in Theoretical Computer Science},
address = {London},
year = {1986},
pages = {xii+201},
isbn = {0-273-08721-5},
mrclass = {68Q50 (03B35 03D03 08B05 20F05 68Q40)},
mrnumber = {840218 (88b:68117)},
mrreviewer = {Friedrich Otto},
printedkey = {LeC86}
}
@article{ LS90,
author = {Leedham-Green, C. R. and Soicher, L. H.},
title = {Collection from the left and other strategies},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {665{\textendash}675},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20D10 (68Q25)},
mrnumber = {1075430 (92b:20021)},
mrreviewer = {M. Greendlinger},
printedkey = {LS90}
}
@article{ LLL82,
author = {Lenstra, A. K. and Lenstra Jr., H. W. and Lov{\a'a}sz,
L.},
title = {Factoring polynomials with rational coefficients},
journal = {Math. Ann.},
volume = {261},
number = {4},
year = {1982},
pages = {515{\textendash}534},
key = {LLL82},
coden = {MAANA3},
fjournal = {Mathematische Annalen},
issn = {0025-5831},
mrclass = {12-04 (12A20 68C20 68C25)},
mrnumber = {682664 (84a:12002)},
mrreviewer = {Daniel Lazard}
}
@article{ Leo80,
author = {Leon, J. S.},
title = {On an algorithm for finding a base and a strong
generating set for a group given by generating
permutations},
journal = {Math. Comp.},
volume = {35},
number = {151},
year = {1980},
pages = {941{\textendash}974},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20-04 (20F05)},
mrnumber = {572868 (82i:20004)},
mrreviewer = {Colin M. Campbell},
reviews = {MR 82i:20004 (Colin M. Campbell), Zbl 444.20001 (J.
Neub{\"u}ser)},
keywords = {permutation groups; stabilizer chain, base and strong
generating set of; Schreier Sims, Todd Coxeter (tc)},
printedkey = {Leo80}
}
@article{ Leon91,
author = {Leon, J. S.},
title = {Permutation group algorithms based on partitions. {I}.
{T}heory and algorithms},
journal = {J. Symbolic Comput.},
volume = {12},
number = {4-5},
year = {1991},
pages = {533{\textendash}583},
note = {Computational group theory, Part 2},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40 (20B40)},
mrnumber = {1146516 (93c:68043)},
mrreviewer = {Jean Moulin Ollagnier},
printedkey = {Leo91}
}
@manual{ Lin93,
author = {Linton, S.},
title = {Vector Enumeration Programs, version 3},
year = {1993},
printedkey = {Lin93}
}
@phdthesis{ Lo,
author = {Lo, E.},
title = {A Polycyclic Quotient Algorithm},
school = {Rutgers University},
year = {1996},
printedkey = {Lo96}
}
@misc{ L03,
author = {L{\"u}beck, F.},
title = {Conway polynomials for finite fields},
year = {2003},
howpublished = {\href
{http://www.math.rwth-aachen.de:8001/~Frank.Luebeck/data/ConwayPol}
{\texttt{http://www.math.rwth-aachen.de:8001/}\discretionary
{}{}{}\texttt{\texttt{\symbol{126}}Frank.Luebeck/}\discretionary
{}{}{}\texttt{data/}\discretionary
{}{}{}\texttt{ConwayPol}}},
printedkey = {L{\"u}b03}
}
@article{ luksrakocziwright97,
author = {Luks, E. M. and R{\a'a}k{\a'o}czi, F. and Wright, C.
R. B.},
title = {Some algorithms for nilpotent permutation groups},
journal = {J. Symbolic Comput.},
volume = {23},
number = {4},
year = {1997},
pages = {335{\textendash}354},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40 (20B05)},
mrnumber = {1445430 (97m:68113)},
printedkey = {LRW97}
}
@article{ Lus81,
author = {Lusztig, G.},
title = {On a theorem of {B}enson and {C}urtis},
journal = {J. Algebra},
volume = {71},
number = {2},
year = {1981},
pages = {490{\textendash}498},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20G05 (14L30)},
mrnumber = {630610 (83a:20053)},
mrreviewer = {S. I. Gel{\ensuremath{'}}fand},
printedkey = {Lus81}
}
@book{ Lus85,
author = {Lusztig, G.},
title = {Characters of reductive groups over a finite field},
publisher = {Princeton University Press},
series = {Annals of Mathematics Studies},
volume = {107},
address = {Princeton, NJ},
year = {1984},
pages = {xxi+384},
isbn = {0-691-08350-9; 0-691-08351-7},
mrclass = {20G05 (14L20 20C15)},
mrnumber = {742472 (86j:20038)},
mrreviewer = {Bhama Srinivasan},
printedkey = {Lus84}
}
@inproceedings{ LP91,
author = {Lux, K. and Pahlings, H.},
editor = {Michler, G. O. and Ringel, C. M.},
booktitle = {Representation theory of finite groups and
finite-dimensional algebras (Bielefeld, 1991)},
title = {Computational aspects of representation theory of
finite groups},
publisher = {Birkh{\"a}user},
series = {Progr. Math.},
volume = {95},
address = {Basel},
year = {1991},
pages = {37{\textendash}64},
crossref = {MR91},
isbn = {3-7643-2604-2},
mrclass = {20C40},
mrnumber = {1112157 (92g:20025)},
mrreviewer = {Wolfgang Knapp},
printedkey = {LP91}
}
@article{ Mac81,
author = {Macdonald, I. G.},
title = {Numbers of conjugacy classes in some finite classical
groups},
journal = {Bull. Austral. Math. Soc.},
volume = {23},
number = {1},
year = {1981},
pages = {23{\textendash}48},
coden = {ALNBAB},
fjournal = {Bulletin of the Australian Mathematical Society},
issn = {0004-9727},
mrclass = {20G40},
mrnumber = {615131 (82j:20092)},
mrreviewer = {Naohisa Shimomura},
printedkey = {Mac81}
}
@article{ MV97,
author = {Mahajan, M. and Vinay, V.},
title = {Determinant: combinatorics, algorithms, and complexity},
journal = {Chicago J. Theoret. Comput. Sci.},
year = {1997},
pages = {Article 5, 26 pp. (electronic)},
fjournal = {Chicago Journal of Theoretical Computer Science},
issn = {1073-0486},
mrclass = {15A15 (05C50 68Q15 68Q22 68R05)},
mrnumber = {1484546 (98m:15016)},
mrreviewer = {H.-J. Hoehnke},
printedkey = {MV97}
}
@inproceedings{ Mal96,
author = {Malle, G.},
editor = {Cabanes, M.},
booktitle = {Finite reductive groups (Luminy, 1994)},
title = {Degr{\a'e}s relatifs des alg{\a`e}bres cyclotomiques
associ{\a'e}es aux groupes de r{\a'e}flexions
complexes de dimension deux},
publisher = {Birkh{\"a}user Boston},
series = {Progr. Math.},
volume = {141},
address = {Boston, MA},
year = {1997},
pages = {311{\textendash}332},
crossref = {Luminy94},
note = {Related structures and representations},
isbn = {0-8176-3885-7},
mrclass = {20C99 (20F55 20G40)},
mrnumber = {1429878 (98h:20019)},
mrreviewer = {Fran{\c c}ois Digne},
printedkey = {Mal97}
}
@article{ MS85,
author = {Soicher, L. and McKay, J.},
title = {Computing {G}alois groups over the rationals},
journal = {J. Number Theory},
volume = {20},
number = {3},
year = {1985},
pages = {273{\textendash}281},
coden = {JNUTA9},
fjournal = {Journal of Number Theory},
issn = {0022-314X},
mrclass = {12-04 (11R32 11Y40)},
mrnumber = {797178 (87a:12002)},
mrreviewer = {Hale F. Trotter},
printedkey = {SM85}
}
@article{ McL77,
author = {McLain, D. H.},
title = {An algorithm for determining defining relations of a
subgroup},
journal = {Glasgow Math. J.},
volume = {18},
number = {1},
year = {1977},
pages = {51{\textendash}56},
fjournal = {Glasgow Mathematical Journal},
issn = {0017-0895},
mrclass = {20F05},
mrnumber = {0424950 (54 \#12908)},
mrreviewer = {N. S. Mendelsohn},
reviews = {MR 54 \# 12908 (N.{\nobreakspace}S. Mendelsohn), Zbl
348.20029 (Summary)},
keywords = {finitely presented groups; subgroup presentation;
modified Todd Coxeter (mtc); algorithm description},
printedkey = {McL77}
}
@article{ MeckyNeubueser89,
author = {Mecky, M. and Neub{\"u}ser, J.},
title = {Some remarks on the computation of conjugacy classes
of soluble groups},
journal = {Bull. Austral. Math. Soc.},
volume = {40},
number = {2},
year = {1989},
pages = {281{\textendash}292},
coden = {ALNBAB},
fjournal = {Bulletin of the Australian Mathematical Society},
issn = {0004-9727},
mrclass = {20-04 (20D10)},
mrnumber = {1012835 (91i:20001)},
printedkey = {MN89}
}
@mastersthesis{ Merkwitz98,
author = {Merkwitz, T.},
title = {{Markentafeln endlicher Gruppen}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1998},
printedkey = {Mer98},
type = {Diplomarbeit}
}
@mastersthesis{ Mni92,
author = {Mnich, J.},
title = {Untergruppenverb{\"a}nde und aufl{\"o}sbare {G}ruppen
in {GAP}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1992},
keywords = {groups; subgroup lattice, table of marks; cyclic
extensions; algorithm description},
printedkey = {Mni92},
type = {Diplomarbeit}
}
@article{ Mon85,
author = {Montgomery, P. L.},
title = {Modular multiplication without trial division},
journal = {Math. Comp.},
volume = {44},
number = {170},
year = {1985},
pages = {519{\textendash}521},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {11Y16},
mrnumber = {777282 (86e:11121)},
printedkey = {Mon85}
}
@article{ Mur58,
author = {Murnaghan, F. D.},
title = {The orthogonal and symplectic groups},
journal = {Comm. Dublin Inst. Adv. Studies. Ser. A, no.},
volume = {13},
year = {1958},
pages = {146},
mrclass = {20.00},
mrnumber = {0103933 (21 \#2695)},
mrreviewer = {J. S. Frame},
printedkey = {Mur58}
}
@article{ MY79,
author = {McKay, J. and Young, K. C.},
title = {The nonabelian simple groups {$G$}, {$|G| <
10^{6}$}{\textendash}minimal generating pairs},
journal = {Math. Comp.},
volume = {33},
number = {146},
year = {1979},
pages = {812{\textendash}814},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20D05 (20F05)},
mrnumber = {521296 (80d:20018)},
mrreviewer = {W. J. Wong},
printedkey = {MY79}
}
@manual{ Nau90,
author = {McKay, B. D.},
title = {{nauty} user's guide (version 1.5), Technical report
TR-CS-90-02},
organization = {Australian National University},
address = {Computer Science Department, ANU},
year = {1990},
printedkey = {McK90}
}
@phdthesis{ Neb95,
author = {Nebe, G.},
title = {Endliche rationale {M}atrixgruppen vom {G}rad 24},
school = {Rheinisch Westf{\"a}lische Technische Hochschule},
series = {Aachener Beitr{\"a}ge zur Mathematik},
volume = {12},
address = {Aachen, Germany},
year = {1995},
printedkey = {Neb95},
type = {Dissertation}
}
@article{ Neb96,
author = {Nebe, G.},
title = {Finite subgroups of {$GL_n(Q)$} for {$25 \leq n \leq
31$}},
journal = {Comm. Algebra},
volume = {24},
number = {7},
year = {1996},
pages = {2341{\textendash}2397},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20G15},
mrnumber = {1390378 (97e:20066)},
mrreviewer = {Martin W. Liebeck},
printedkey = {Neb96}
}
@phdthesis{ Neu67,
author = {Neub{\"u}ser, J.},
title = {Die {U}ntergruppenverb{\"a}nde der {Gruppen} der
{Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen}
64 und 96},
school = {Universit{\"a}t Kiel},
address = {Kiel, Germany},
year = {1967},
notes = {PAGES: 370},
printedkey = {Neu67},
type = {Habilitationsschrift}
}
@inproceedings{ Neu82,
author = {Neub{\"u}ser, J.},
editor = {Campbell, C. M. and Robertson, E. F.},
booktitle = {Groups{\textendash}St Andrews 1981 (St Andrews, 1981)},
title = {An elementary introduction to coset table methods in
computational group theory},
publisher = {Cambridge Univ. Press},
series = {London Math. Soc. Lecture Note Ser.},
volume = {71},
address = {Cambridge},
year = {1982},
pages = {1{\textendash}45},
crossref = {GrpsStAndrews81},
isbn = {0-521-28974-2},
mrclass = {20-04 (20-02)},
mrnumber = {679153 (84f:20004)},
mrreviewer = {George Havas},
reviews = {MR 84f:20004 (George Havas), Zbl 489.20003 (G. Butler)},
keywords = {finitely presented groups; subgroup presentation,
permutation representation, low index subgroups; Todd
Coxeter (tc), modified Todd Coxeter (mtc); algorithm
description, survey},
printedkey = {Neu82}
}
@book{ neukirch,
author = {Neukirch, J.},
title = {Algebraische {Z}ahlentheorie},
publisher = {Springer, Berlin, Heidelberg and New York},
year = {1992},
printedkey = {Neu92}
}
@inbook{ NP95,
author = {Nebe, G. and Plesken, W.},
title = {Finite rational matrix groups of degree 16},
journal = {Mem. Amer. Math. Soc.},
publisher = {AMS},
number = {556},
year = {1995},
pages = {74{\textendash}144},
crossref = {NPbook95},
note = {vol. 116},
coden = {MAMCAU},
fjournal = {Memoirs of the American Mathematical Society},
issn = {0065-9266},
mrclass = {20H20 (11E57)},
mrnumber = {1265024 (95k:20081)},
mrreviewer = {V. D. Mazurov},
printedkey = {NP95}
}
@book{ NPbook95,
author = {Nebe, G. and Plesken, W.},
title = {Finite rational matrix groups},
journal = {Mem. Amer. Math. Soc.},
publisher = {AMS},
series = {Mem. Amer. Math. Soc.},
number = {556},
year = {1995},
pages = {viii+144},
note = {vol. 116},
coden = {MAMCAU},
fjournal = {Memoirs of the American Mathematical Society},
issn = {0065-9266},
mrclass = {20H20 (11E57)},
mrnumber = {1265024 (95k:20081)},
mrreviewer = {V. D. Mazurov},
printedkey = {NP95}
}
@inproceedings{ NPP84,
author = {Neub{\"u}ser, J. and Pahlings, H. and Plesken, W.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {C{AS}; design and use of a system for the handling of
characters of finite groups},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {195{\textendash}247},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20-04 (20C15 20C30 68Q40)},
mrnumber = {760658 (86i:20004)},
mrreviewer = {D. Wales},
reviews = {MR 86i:20004 (D. Hales), Zbl 546.20001 (G. Butler)},
keywords = {ordinary representations; characters},
printedkey = {NPP84}
}
@article{ NPW81,
author = {Neub{\"u}ser, J. and Plesken, W. and Wondratschek, H.},
booktitle = {Proceedings of the Conference on Kristallographische
Gruppen (Univ. Bielefeld, Bielefeld, 1979), Part II},
title = {An emendatory discursion on defining crystal systems},
journal = {Match},
number = {10},
year = {1981},
pages = {77{\textendash}96},
coden = {MATCDV},
fjournal = {Match},
issn = {0340-6253},
mrclass = {20H15 (51F15 82A60)},
mrnumber = {620802 (82i:20059)},
mrreviewer = {Daniel B. Litvin},
reviews = {Zbl 551.20033 (Author)},
printedkey = {NPW81}
}
@inproceedings{ New77,
author = {Newman, M. F.},
editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.},
booktitle = {Group theory (Proc. Miniconf., Australian Nat. Univ.,
Canberra, 1975)},
title = {Determination of groups of prime-power order},
publisher = {Springer},
series = {Lecture Notes in Math.},
volume = {573},
address = {Berlin},
year = {1977},
pages = {73{\textendash}84. Lecture Notes in Math., Vol. 573},
crossref = {Canberra75},
note = {Lecture Notes in Mathematics, Vol. 573},
mrclass = {20D15},
mrnumber = {0453862 (56 \#12115)},
mrreviewer = {Bruce W. King},
reviews = {MR 56 \# 12115 (Bruce W. King), Zbl no ref},
keywords = {finitely presented groups, p-groups;; nilpotent
quotient; application},
printedkey = {New77}
}
@article{ New90,
author = {Newman, M. F.},
title = {Proving a group infinite},
journal = {Arch. Math. (Basel)},
volume = {54},
number = {3},
year = {1990},
pages = {209{\textendash}211},
coden = {ACVMAL},
fjournal = {Archiv der Mathematik},
issn = {0003-889X},
mrclass = {20F05},
mrnumber = {1037607 (90j:20068)},
mrreviewer = {D. L. Johnson},
printedkey = {New90}
}
@inproceedings{ NO89,
author = {Newman, M. F. and O'Brien, E. A.},
editor = {Cheng, K. N. and Leong, Y. K.},
booktitle = {Group theory (Singapore, 1987)},
title = {A {CAYLEY} library for the groups of order dividing
{$128$}},
publisher = {de Gruyter},
address = {Berlin},
year = {1989},
pages = {437{\textendash}442},
crossref = {Singapore87},
isbn = {3-11-011366-X},
mrclass = {20-04 (20D15)},
mrnumber = {981861 (90b:20002)},
mrreviewer = {J. McKay},
printedkey = {NO89}
}
@mastersthesis{ Noe02,
author = {Noeske, F.},
title = {{Zur Darstellungstheorie der Schurschen Erweiterungen
symmetrischer Gruppen}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
year = {2002},
printedkey = {Noe02},
type = {Diplomarbeit}
}
@article{ OBr90,
author = {O'Brien, E. A.},
title = {The {$p$}-group generation algorithm},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {677{\textendash}698},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20D15},
mrnumber = {1075431 (91j:20050)},
mrreviewer = {{\a`E}. M. Pal{\ensuremath{'}}chik},
printedkey = {O'B90}
}
@article{ OBr91,
author = {O'Brien, E. A.},
title = {The groups of order {$256$}},
journal = {J. Algebra},
volume = {143},
number = {1},
year = {1991},
pages = {219{\textendash}235},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20D15 (20-04)},
mrnumber = {1128656 (93e:20029)},
printedkey = {O'B91}
}
@article{ OBr94,
author = {O'Brien, E. A.},
title = {Isomorphism testing for {$p$}-groups},
journal = {J. Symbolic Comput.},
volume = {17},
number = {2},
year = {1994},
pages = {131, 133{\textendash}147},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20D15 (20D45 20F28)},
mrnumber = {1283739 (95f:20040b)},
mrreviewer = {Richard Davitt},
printedkey = {O'B94}
}
@inproceedings{ OBr95,
author = {O'Brien, E. A.},
editor = {Bosma, W. and van der Poorten, A.},
booktitle = {Computational algebra and number theory (Sydney, 1992)},
title = {Computing automorphism groups of {$p$}-groups},
publisher = {Kluwer Acad. Publ.},
series = {Math. Appl.},
volume = {325},
address = {Dordrecht},
year = {1995},
pages = {83{\textendash}90},
mrclass = {20D15 (20D45)},
mrnumber = {1344923 (96g:20024)},
mrreviewer = {Wolfgang Lempken},
printedkey = {O'B95}
}
@article{ NO96,
author = {Newman, M. F. and O'Brien, E. A.},
title = {Application of computers to questions like those of
{B}urnside. {II}},
journal = {Internat. J. Algebra Comput.},
volume = {6},
number = {5},
year = {1996},
pages = {593{\textendash}605},
fjournal = {International Journal of Algebra and Computation},
issn = {0218-1967},
mrclass = {20-04 (20D15 20F05)},
mrnumber = {1419133 (97k:20002)},
mrreviewer = {Colin M. Campbell},
printedkey = {NO96}
}
@techreport{ Ost86,
author = {Ostermann, T.},
title = {Charaktertafeln von {S}ylownormalisatoren sporadischer
einfacher {G}ruppen},
institution = {Universit{\"a}t Essen},
publisher = {Universit{\"a}t Essen Fachbereich Mathematik},
series = {Vorlesungen aus dem Fachbereich Mathematik der
Universit{\"a}t GH Essen [Lecture Notes in Mathematics
at the University of Essen]},
volume = {14},
address = {Essen},
year = {1986},
pages = {x+187},
mrclass = {20-04 (20C20 20D08)},
mrnumber = {872094 (88g:20002)},
mrreviewer = {M. F. Newman},
printedkey = {Ost86}
}
@article{ Pah93,
author = {Pahlings, H.},
title = {On the {M}{\"o}bius function of a finite group},
journal = {Arch. Math. (Basel)},
volume = {60},
number = {1},
year = {1993},
pages = {7{\textendash}14},
coden = {ACVMAL},
fjournal = {Archiv der Mathematik},
issn = {0003-889X},
mrclass = {20D30},
mrnumber = {1193087 (94c:20039)},
mrreviewer = {David Gluck},
printedkey = {Pah93}
}
@inproceedings{ Par84,
author = {Parker, R. A.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {The computer calculation of modular characters (the
meat-axe)},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {267{\textendash}274},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20C20 (20-04)},
mrnumber = {760660 (85k:20041)},
mrreviewer = {Leo J. Alex},
printedkey = {Par84}
}
@mastersthesis{ Pfe91,
author = {Pfeiffer, G.},
title = {{Von Permutationscharakteren und Markentafeln}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1991},
printedkey = {Pfe91},
type = {Diplomarbeit}
}
@article{ Pfe94a,
author = {Pfeiffer, G.},
title = {Character tables of {W}eyl groups in {GAP}},
journal = {Bayreuth. Math. Schr.},
number = {47},
year = {1994},
pages = {165{\textendash}222},
fjournal = {Bayreuther Mathematische Schriften},
issn = {0172-1062},
mrclass = {20C40 (20C15 20D06 20F40)},
mrnumber = {1285208 (95d:20027)},
mrreviewer = {Stephen A. Linton},
printedkey = {Pfe94}
}
@article{ Pfe94b,
author = {Pfeiffer, G.},
title = {Young characters on {C}oxeter basis elements of
{I}wahori-{H}ecke algebras and a
{M}urnaghan-{N}akayama formula},
journal = {J. Algebra},
volume = {168},
number = {2},
year = {1994},
pages = {525{\textendash}535},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C30 (20C15 20F55)},
mrnumber = {1292779 (95g:20012)},
mrreviewer = {Arun Ram},
printedkey = {Pfe94}
}
@inproceedings{ Pfe96,
author = {Pfeiffer, G.},
editor = {Cabanes, M.},
booktitle = {Finite reductive groups (Luminy, 1994)},
title = {Character values of {I}wahori-{H}ecke algebras of type
{$B$}},
publisher = {Birkh{\"a}user Boston},
series = {Progr. Math.},
volume = {141},
address = {Boston, MA},
year = {1997},
pages = {333{\textendash}360},
crossref = {Luminy94},
note = {Related structures and representations},
isbn = {0-8176-3885-7},
mrclass = {20C15 (20F55)},
mrnumber = {1429879 (98a:20008)},
mrreviewer = {Robert B{\a'e}dard},
printedkey = {Pfe97}
}
@article{ Pfe97,
author = {Pfeiffer, G.},
title = {The subgroups of {$M_{24}$}, or how to compute the
table of marks of a finite group},
journal = {Experiment. Math.},
volume = {6},
number = {3},
year = {1997},
pages = {247{\textendash}270},
fjournal = {Experimental Mathematics},
issn = {1058-6458},
mrclass = {20D30 (20D08)},
mrnumber = {1481593 (98h:20032)},
mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev},
printedkey = {Pfe97}
}
@book{ Pil83,
author = {Pilz, G.},
title = {Near-rings},
publisher = {North-Holland Publishing Co.},
edition = {Second},
series = {North-Holland Mathematics Studies},
volume = {23},
address = {Amsterdam},
year = {1983},
pages = {xv+470},
note = {The theory and its applications},
isbn = {0-7204-0566-1},
mrclass = {16A76 (16-02)},
mrnumber = {721171 (85h:16046)},
mrreviewer = {J. R. Clay},
printedkey = {Pil83}
}
@article{ Ple85,
author = {Plesken, W.},
title = {Finite unimodular groups of prime degree and
circulants},
journal = {J. Algebra},
volume = {97},
number = {1},
year = {1985},
pages = {286{\textendash}312},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20C10 (20G40)},
mrnumber = {812182 (87c:20020)},
mrreviewer = {Wolfgang Knapp},
printedkey = {Ple85}
}
@article{ Ple90,
author = {Plesken, W.},
title = {Solving {$XX^{\rm tr} = A$} over the integers},
journal = {Linear Algebra Appl.},
volume = {226/228},
year = {1995},
pages = {331--344},
coden = {LAAPAW},
fjournal = {Linear Algebra and its Applications},
issn = {0024-3795},
mrclass = {15A24},
mrnumber = {1344572 (96h:15016)},
mrreviewer = {M. C. Chaki},
printedkey = {Ple95}
}
@inbook{ PN95,
author = {Plesken, W. and Nebe, G.},
title = {Finite rational matrix groups},
journal = {Mem. Amer. Math. Soc.},
publisher = {AMS},
number = {556},
year = {1995},
pages = {1{\textendash}73},
crossref = {NPbook95},
note = {vol. 116},
coden = {MAMCAU},
fjournal = {Memoirs of the American Mathematical Society},
issn = {0065-9266},
mrclass = {20H20 (11E57)},
mrnumber = {1265024 (95k:20081)},
mrreviewer = {V. D. Mazurov},
printedkey = {PN95}
}
@article{ MR1265024,
author = {Nebe, G. and Plesken, W.},
title = {Finite rational matrix groups},
journal = {Mem. Amer. Math. Soc.},
volume = {116},
number = {556},
year = {1995},
pages = {viii+144},
coden = {MAMCAU},
fjournal = {Memoirs of the American Mathematical Society},
issn = {0065-9266},
mrclass = {20H20 (11E57)},
mrnumber = {1265024 (95k:20081)},
mrreviewer = {V. D. Mazurov},
printedkey = {NP95}
}
@article{ PP77,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible Subgroups of {GL(n,Z)}.
{I}. The five and seven dimensional cases, {II}. The
six dimensional case},
journal = {Math. Comp.},
volume = {31},
year = {1977},
pages = {536{\textendash}576},
reviews = {MR 56 \# 3137a, 3137b (Wolfgang Knapp), Zbl 359.20006,
359.20007 (authors)},
printedkey = {PP77}
}
@article{ MR0444789,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible subgroups of {$GL(n,
Z)$}. {I}. {T}he five and seven dimensional cases},
journal = {Math. Comp.},
volume = {31},
number = {138},
year = {1977},
pages = {536{\textendash}551},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20G05},
mrnumber = {0444789 (56 \#3137a)},
mrreviewer = {Wolfgang Knapp},
printedkey = {PP77}
}
@article{ MR0444790,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible subgroups of {$GL(n,
Z)$}. {II}. {T}he six dimensional case},
journal = {Math. Comp.},
volume = {31},
number = {138},
year = {1977},
pages = {552{\textendash}573},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20G05},
mrnumber = {0444790 (56 \#3137b)},
mrreviewer = {Wolfgang Knapp},
printedkey = {PP77}
}
@article{ PP80,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible Subgroups of {GL(n,Z)}.
{III}. The nine dimensional case, {IV}. Remarks on
even dimensions with application to n = 8, {V}. The
eight dimensional case and a complete description of
dimensions less than ten},
journal = {Math. Comp.},
volume = {34},
year = {1980},
pages = {245{\textendash}301},
reviews = {MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang
Knapp), Zbl 431.20039, 431.20040, 431.20041 (authors)},
printedkey = {PP80}
}
@article{ MR551303,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible subgroups of {$GL(n,
Z)$}. {III}. {T}he nine-dimensional case},
journal = {Math. Comp.},
volume = {34},
number = {149},
year = {1980},
pages = {245{\textendash}258},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20C10},
mrnumber = {551303 (81b:20012a)},
mrreviewer = {Wolfgang Knapp},
printedkey = {PP80}
}
@article{ MR551304,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible subgroups of {$GL(n,
Z)$}. {IV}. {R}emarks on even dimensions with
applications to {$n = 8$}},
journal = {Math. Comp.},
volume = {34},
number = {149},
year = {1980},
pages = {259{\textendash}275},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20C10},
mrnumber = {551304 (81b:20012b)},
mrreviewer = {Wolfgang Knapp},
printedkey = {PP80}
}
@article{ MR551305,
author = {Plesken, W. and Pohst, M.},
title = {On maximal finite irreducible subgroups of {$GL(n,
Z)$}. {V}. {T}he eight-dimensional case and a complete
description of dimensions less than ten},
journal = {Math. Comp.},
volume = {34},
number = {149},
year = {1980},
pages = {277{\textendash}301, loose microfiche suppl},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20C10},
mrnumber = {551305 (81b:20012c)},
mrreviewer = {Wolfgang Knapp},
printedkey = {PP80}
}
@article{ Poh87,
author = {Pohst, M.},
title = {A modification of the {LLL} reduction algorithm},
journal = {J. Symbolic Comput.},
volume = {4},
number = {1},
year = {1987},
pages = {123{\textendash}127},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {11Y16 (11H06 11R27 11Y05 68Q20)},
mrnumber = {908420 (89c:11183)},
mrreviewer = {Hans G. Kopetzky},
printedkey = {Poh87}
}
@article{ Ram91,
author = {Ram, A.},
title = {A {F}robenius formula for the characters of the
{H}ecke algebras},
journal = {Invent. Math.},
volume = {106},
number = {3},
year = {1991},
pages = {461{\textendash}488},
coden = {INVMBH},
fjournal = {Inventiones Mathematicae},
issn = {0020-9910},
mrclass = {20C30 (05E05 16W30 17B37)},
mrnumber = {1134480 (93c:20029)},
mrreviewer = {Jie Du},
printedkey = {Ram91}
}
@manual{ Ram99a,
author = {Ramsay, C.},
title = {{ACE} for {Amateurs}},
organization = {Centre for Discrete Mathematics and Computing, The
University of Queensland},
year = {1999},
note = {Draft},
printedkey = {Ram99}
}
@manual{ Ram99,
author = {Ramsay, C.},
title = {{ACE} User Manual},
address = {Department of Computer Science \& Electrical
Engineering and Department of Mathematics, The
University of Queensland, QLD 4072, Australia},
year = {1999},
note = {Draft},
organisation = {Centre for Discrete Mathematics and Computing},
printedkey = {Ram99}
}
@manual{ Rin93,
author = {Ringe, M.},
title = {The {C} {M}eat{A}xe, Release 1.5},
organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1993},
printedkey = {Rin93}
}
@manual{ Rin98,
author = {Ringe, M.},
title = {The {C} {M}eat{A}xe, Release 2.3},
organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1998},
printedkey = {Rin98}
}
@article{ Rob88,
author = {Robertson, E. F.},
title = {Tietze transformations with weighted substring search},
journal = {J. Symbolic Comput.},
volume = {6},
number = {1},
year = {1988},
pages = {59{\textendash}64},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {68Q40 (20F05)},
mrnumber = {961370 (89h:68076)},
keywords = {finitely presented groups; simplification; Tietze
transformations},
printedkey = {Rob88}
}
@article{ RoneyDougal02,
author = {Roney-Dougal, C. M. and Unger, W. R.},
title = {The affine primitive permutation groups of degree less
than 1000},
journal = {J. Symbolic Comput.},
volume = {35},
number = {4},
year = {2003},
pages = {421{\textendash}439},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B15},
mrnumber = {1976576 (2004e:20002)},
mrreviewer = {Xianhua Li},
printedkey = {RU03}
}
@article{ RoneyDougal05,
author = {Roney-Dougal, C. M.},
title = {The primitive permutation groups of degree less than
2500},
journal = {J. Algebra},
volume = {292},
number = {1},
year = {2005},
pages = {154{\textendash}183},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20B15},
mrnumber = {2166801 (2006e:20005)},
mrreviewer = {Michael Giudici},
printedkey = {Ron05}
}
@article{ Roy87,
author = {Royle, G. F.},
title = {The transitive groups of degree twelve},
journal = {J. Symbolic Comput.},
volume = {4},
number = {2},
year = {1987},
pages = {255{\textendash}268},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B05},
mrnumber = {922391 (89b:20010)},
mrreviewer = {Martin W. Liebeck},
printedkey = {Roy87}
}
@article{ RylandsTalor98,
author = {Rylands, L. J. and Taylor, D. E.},
title = {Matrix generators for the orthogonal groups},
journal = {J. Symbolic Comput.},
volume = {25},
number = {3},
year = {1998},
pages = {351{\textendash}360},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20G40},
mrnumber = {1615330 (99d:20078)},
mrreviewer = {A. G. Earnest},
printedkey = {RT98}
}
@article{ Sco73,
author = {Scott, L. L.},
title = {Modular permutation representations},
journal = {Trans. Amer. Math. Soc.},
volume = {175},
year = {1973},
pages = {101{\textendash}121},
fjournal = {Transactions of the American Mathematical Society},
issn = {0002-9947},
mrclass = {20C20},
mrnumber = {0310051 (46 \#9154)},
mrreviewer = {H. K. Farahat},
printedkey = {Sco73}
}
@article{ Sch90,
author = {Schneider, G. J. A.},
title = {Dixon's character table algorithm revisited},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {601{\textendash}606},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20C40 (20-04 20C15 68Q40)},
mrnumber = {1075426 (91j:20036)},
mrreviewer = {Jamshid Moori},
printedkey = {Sch90}
}
@mastersthesis{ Scherner92,
author = {Scherner, M.},
title = {Erweiterung einer {A}rithmetik von
{K}reisteilungsk{\"o}rpern auf deren {T}eilk{\"o}rper
und deren {I}mplementation in {GAP}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1992},
printedkey = {Sch92},
type = {Diplomarbeit}
}
@mastersthesis{ Schiffer94,
author = {Schiffer, U.},
title = {Cliffordmatrizen},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1994},
printedkey = {Sch94},
type = {Diplomarbeit}
}
@article{ Seress98,
author = {Seress, {\a'A}.},
title = {Nearly linear time algorithms for permutation groups:
an interplay between theory and practice},
journal = {Acta Appl. Math.},
volume = {52},
number = {1-3},
year = {1998},
pages = {183{\textendash}207},
note = {Algebra and combinatorics: interactions and
applications (K{\"o}nigstein, 1994)},
coden = {AAMADV},
fjournal = {Acta Applicandae Mathematicae. An International Survey
Journal on Applying Mathematics and Mathematical
Applications},
issn = {0167-8019},
mrclass = {20B40 (20-04 68W30)},
mrnumber = {1649697 (2000e:20008)},
mrreviewer = {Miguel {\a'A}. Borges-Trenard},
printedkey = {Ser98}
}
@book{ Seress2003,
author = {Seress, {\a'A}.},
title = {Permutation Group Algorithms},
publisher = {Cambridge University Press},
year = {2003},
isbn = {9780511546549},
printedkey = {Ser03}
}
@article{ ST54,
author = {Shephard, G. C. and Todd, J. A.},
title = {Finite unitary reflection groups},
journal = {Canadian J. Math.},
volume = {6},
year = {1954},
pages = {274{\textendash}304},
mrclass = {20.0X},
mrnumber = {0059914 (15,600b)},
mrreviewer = {H. S. M. Coxeter},
printedkey = {ST54}
}
@book{ Sho92,
author = {Short, M. W.},
title = {The primitive soluble permutation groups of degree
less than {$256$}},
publisher = {Springer-Verlag},
series = {Lecture Notes in Mathematics},
volume = {1519},
address = {Berlin},
year = {1992},
pages = {x+145},
isbn = {3-540-55501-3},
mrclass = {20B15 (20B35 20B40 20F16)},
mrnumber = {1176516 (93g:20006)},
mrreviewer = {A. S. Kondrat{\ensuremath{'}}ev},
printedkey = {Sho92}
}
@inproceedings{ Sim70,
author = {Sims, C. C.},
editor = {Leech, J.},
booktitle = {Computational Problems in Abstract Algebra (Proc.
Conf., Oxford, 1967)},
title = {Computational methods in the study of permutation
groups},
publisher = {Pergamon},
series = {Proceedings of a Conference held at Oxford under the
auspices of the Science Research Council, Atlas
Computer Laboratory},
volume = {29},
address = {Oxford},
year = {1970},
pages = {169{\textendash}183},
crossref = {Oxford67},
notes = {RUSSIAN translation in: Computations in algebra and
number theory (Russian), edited by B.{\nobreakspace}B.
Venkov and D.{\nobreakspace}K. Faddeev, pp.
129{\textendash}147, Matematika, Novoie v Zarubeznoi
Naukie, vol. 2, Izdat. MIR, Moscow, 1976},
mrclass = {20.20 (65.00)},
mrnumber = {0257203 (41 \#1856)},
mrreviewer = {H. Kimura},
reviews = {MR 41 \# 1856 (H. Kimura), Zbl 215, 100 (J. McKay), CR
11 \# 19,829 (G.{\nobreakspace}N. Raney)},
keywords = {permutation groups; primitive groups, classification
of, stabilizer chain; Schreier Sims},
printedkey = {Sim70}
}
@article{ Sims90b,
author = {Sims, C. C.},
title = {Computing the order of a solvable permutation group},
journal = {J. Symbolic Comput.},
volume = {9},
number = {5-6},
year = {1990},
pages = {699{\textendash}705},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20B40},
mrnumber = {1075432 (91m:20011)},
mrreviewer = {Gerhard Hiss},
printedkey = {Sim90}
}
@book{ Sims94,
author = {Sims, C. C.},
title = {Computation with finitely presented groups},
publisher = {Cambridge University Press},
series = {Encyclopedia of Mathematics and its Applications},
volume = {48},
address = {Cambridge},
year = {1994},
pages = {xiii+604},
isbn = {0-521-43213-8},
mrclass = {20F05 (20-02 68Q40 68Q42)},
mrnumber = {1267733 (95f:20053)},
mrreviewer = {Friedrich Otto},
printedkey = {Sim94}
}
@inproceedings{ Sims97,
author = {Sims, C. C.},
editor = {K{\"u}chlin, W.},
booktitle = {Proceedings of the 1997 International Symposium on
Symbolic and Algebraic Computation (Kihei, HI)},
title = {Computing with subgroups of automorphism groups of
finite groups},
organization = {The Association for Computing Machinery},
publisher = {ACM},
address = {New York},
year = {1997},
pages = {400{\textendash}403 (electronic)},
crossref = {ISSAC97},
note = {Held in Kihei, HI, July 21{\textendash}23, 1997},
key = {ACM},
mrclass = {68W30 (20D45)},
mrnumber = {1810006}
}
@manual{ Sog89,
title = {{SOGOS} - A Program System for Handling Subgroups of
Finite Soluble Groups, version 5.0, User's reference
manual},
organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1989},
keywords = {groups, finitely presented groups, polycyclic groups,
nilpotent groups, p-groups; SOGOS, pc-presentation,
ag-presentation, collection, elements, classes of
conjugate elements, centralizer, normalizer, normal
closure, intersection, sylow subgroups, derived
subgroup, series, central series, p-central series,
subgroup lattice, table of marks, complements, factor
groups; nilpotent quotient (nq); manual},
printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY}
}
@inproceedings{ Soi91,
author = {Soicher, L. H.},
editor = {Finkelstein, L. and Kantor, W. M.},
booktitle = {Groups and computation (New Brunswick, NJ, 1991)},
title = {G{RAPE}: a system for computing with graphs and groups},
publisher = {Amer. Math. Soc.},
series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
volume = {11},
address = {Providence, RI},
year = {1993},
pages = {287{\textendash}291},
crossref = {DIMACS},
isbn = {0-8218-6599-4},
mrclass = {05C85 (20B40)},
mrnumber = {1235810},
printedkey = {Soi93}
}
@article{ Sou94,
author = {Souvignier, B.},
title = {Irreducible finite integral matrix groups of degree
{$8$} and {$10$}},
journal = {Math. Comp.},
volume = {63},
number = {207},
year = {1994},
pages = {335{\textendash}350},
note = {With microfiche supplement},
coden = {MCMPAF},
fjournal = {Mathematics of Computation},
issn = {0025-5718},
mrclass = {20H15 (11E12 20C10 20C40)},
mrnumber = {1213836 (94i:20091)},
mrreviewer = {Alexander W. Mason},
printedkey = {Sou94}
}
@manual{ Spa89,
title = {{SPAS} - {S}ubgroup {P}resentation {A}lgorithms
{S}ystem, version 2.5, User's reference manual},
organization = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1989},
key = {SPAS},
keywords = {finitely presented groups; SPAS, subgroup
presentation, simplification, low index subgroups;
Todd Coxeter (tc), modified Todd Coxeter (mtc),
Reidemeister Schreier (rs), reduced Reidemeister
Schreier (rrs), Tietze transformations, tree decoding;
manual}
}
@book{ Spr81,
author = {Springer, T. A.},
title = {Linear algebraic groups},
publisher = {Birkh{\"a}user Boston},
series = {Progress in Mathematics},
volume = {9},
address = {Mass.},
year = {1981},
pages = {x+304},
isbn = {3-7643-3029-5},
mrclass = {20-02 (20Gxx)},
mrnumber = {632835 (84i:20002)},
printedkey = {Spr81}
}
@article{ Ste89,
author = {Stembridge, J. R.},
title = {On the eigenvalues of representations of reflection
groups and wreath products},
journal = {Pacific J. Math.},
volume = {140},
number = {2},
year = {1989},
pages = {353{\textendash}396},
coden = {PJMAAI},
fjournal = {Pacific Journal of Mathematics},
issn = {0030-8730},
mrclass = {20C30 (20C15)},
mrnumber = {1023791 (91a:20022)},
mrreviewer = {A. Kerber},
printedkey = {Ste89}
}
@article{ Tay87,
author = {Taylor, D. E.},
title = {Pairs of Generators for Matrix Groups. {I}},
journal = {The Cayley Bulletin},
volume = {3},
year = {1987},
printedkey = {Tay87}
}
@mastersthesis{ Theissen93,
author = {Thei{\ss}en, H.},
title = {{Methoden zur Bestimmung der rationalen Konjugiertheit
in endlichen Gruppen}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1993},
printedkey = {The93},
type = {Diplomarbeit}
}
@phdthesis{ Theissen97,
author = {Thei{\ss}en, H.},
title = {{Eine Methode zur Normalisatorberechnung in
Permutationsgruppen mit Anwendungen in der
Konstruktion primitiver Gruppen}},
school = {Rheinisch Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1997},
printedkey = {The97},
type = {Dissertation}
}
@mastersthesis{ Thi87,
author = {Thiemann, P.},
title = {{SOGOS} {III} - {C}haraktere und
{E}ffizienzuntersuchung},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1987},
printedkey = {Thi87},
type = {Diplomarbeit}
}
@inproceedings{ VL84,
author = {Vaughan-Lee, M. R.},
editor = {Atkinson, M. D.},
booktitle = {Computational group theory (Durham, 1982)},
title = {An aspect of the nilpotent quotient algorithm},
publisher = {Academic Press},
address = {London},
year = {1984},
pages = {75{\textendash}83},
crossref = {Durham1982},
isbn = {0-12-066270-1},
mrclass = {20F05 (20-04 20D15 68Q40)},
mrnumber = {760652 (86b:20040)},
mrreviewer = {M. F. Newman},
printedkey = {Vau84}
}
@article{ VL90a,
author = {Vaughan-Lee, M. R.},
title = {Collection from the left},
journal = {J. Symbolic Comput.},
publisher = {Academic Press},
volume = {9},
number = {5-6},
year = {1990},
pages = {725{\textendash}733},
note = {Computational group theory, Part 1},
fjournal = {Journal of Symbolic Computation},
issn = {0747-7171},
mrclass = {20F12 (20-04 20D15 20F18)},
mrnumber = {1075434 (92c:20065)},
mrreviewer = {M. Greendlinger},
printedkey = {Vau90}
}
@book{ VL90b,
author = {Vaughan-Lee, M.},
title = {The restricted {B}urnside problem},
publisher = {The Clarendon Press Oxford University Press},
series = {London Mathematical Society Monographs. New Series},
volume = {5},
address = {New York},
year = {1990},
pages = {xiv+209},
note = {, Oxford Science Publications},
isbn = {0-19-853573-2},
mrclass = {20-02 (20F12 20F40 20F45 20F50)},
mrnumber = {1057610 (92c:20001)},
mrreviewer = {Norman Blackburn},
printedkey = {Vau90}
}
@article{ vdW76,
author = {van der Waall, R. W.},
title = {On symplectic primitive modules and monomial groups},
journal = {Nederl. Akad. Wetensch. Proc. Ser. A 79, Indag. Math.},
volume = {38},
number = {4},
year = {1976},
pages = {362{\textendash}375},
mrclass = {20D10},
mrnumber = {0424931 (54 \#12889)},
mrreviewer = {T. R. Berger},
printedkey = {vdW76}
}
@article{ Wagon90,
author = {Wagon, S.},
title = {Editor's corner: the {E}uclidean algorithm strikes
again},
journal = {Amer. Math. Monthly},
volume = {97},
number = {2},
year = {1990},
pages = {125{\textendash}129},
coden = {AMMYAE},
fjournal = {The American Mathematical Monthly},
issn = {0002-9890},
mrclass = {11E25 (11Y50)},
mrnumber = {1041889 (91b:11039)},
mrreviewer = {K. S. Williams},
printedkey = {Wag90}
}
@techreport{ wielandt69,
author = {Wielandt, H.},
title = {Permutation groups through invariant relations and
invariant functions},
institution = {Department of Mathematics, The Ohio State University},
year = {1969},
printedkey = {Wie69},
type = {Lecture Notes}
}
@misc{ AGR,
author = {Wilson, R. A. and Walsh, P. and Tripp, J. and
Suleiman, I. and Parker, R. A. and Norton, S. P. and
Nickerson, S. and Linton, S. and Bray, J. and Abbott,
R.},
title = {{ATLAS of Finite Group Representations}},
howpublished = {\href {http://brauer.maths.qmul.ac.uk/Atlas/}
{\texttt{http://brauer.maths.qmul.ac.uk/}\discretionary
{}{}{}\texttt{Atlas/}}},
key = {ATLAS}
}
@article{ BSW01,
author = {Bray, J. N. and Suleiman, I. A. I. and Walsh, P. G.
and Wilson, R. A.},
title = {Generating maximal subgroups of sporadic simple groups},
journal = {Comm. Algebra},
volume = {29},
number = {3},
year = {2001},
pages = {1325{\textendash}1337},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = {0092-7872},
mrclass = {20D08},
mrnumber = {1842416 (2002e:20032)},
mrreviewer = {Hiroyoshi Yamaki},
printedkey = {BSWW01}
}
@article{ Wil96,
author = {Wilson, R. A.},
title = {Standard generators for sporadic simple groups},
journal = {J. Algebra},
volume = {184},
number = {2},
year = {1996},
pages = {505{\textendash}515},
coden = {JALGA4},
fjournal = {Journal of Algebra},
issn = {0021-8693},
mrclass = {20D08},
mrnumber = {1409225 (98e:20025)},
printedkey = {Wil96}
}
@incollection{ Won95,
author = {Wondratschek, H.},
editor = {Hahn, T.},
booktitle = {International Tables for Crystallography, {V}ol. {A}},
title = {Introduction to space-group symmetry},
publisher = {Kluwer, Dordrecht},
edition = {4th},
year = {1995},
pages = {711{\textendash}735},
crossref = {Hah95},
note = {Space-group symmetry},
printedkey = {Won95}
}
@manual{ Wur93,
author = {Wursthorn, M.},
title = {{SISYPHOS} Computing in modular group algebras,
Version 0.5},
organization = {Math. Inst. B, 3. Lehrstuhl},
address = {Universit{\"a}t Stuttgart},
year = {1993},
printedkey = {Wur93}
}
@article{ Zagier90,
author = {Zagier, D.},
title = {A one-sentence proof that every prime {$p \equiv 1
\pmod 4$} is a sum of two squares},
journal = {Amer. Math. Monthly},
volume = {97},
number = {2},
year = {1990},
pages = {144},
coden = {AMMYAE},
fjournal = {The American Mathematical Monthly},
issn = {0002-9890},
mrclass = {11E25},
mrnumber = {1041893 (91b:11040)},
mrreviewer = {K. S. Williams},
printedkey = {Zag90}
}
@mastersthesis{ Zum89,
author = {Zumbroich, M.},
title = {{Grundlagen} einer {Arithmetik} in
{Kreisteilungsk{\"o}rpern} und ihre {Implementation}
in {CAS}},
school = {Lehrstuhl D f{\"u}r Mathematik, Rheinisch
Westf{\"a}lische Technische Hochschule},
address = {Aachen, Germany},
year = {1989},
printedkey = {Zum89},
type = {Diplomarbeit}
}
@proceedings{ Oxford67,
editor = {Leech, J.},
booktitle = {Computational Problems in Abstract Algebra, Proc.
Conf. Oxford, 1967},
title = {Computational problems in abstract algebra},
publisher = {Pergamon Press},
series = {Proceedings of a Conference held at Oxford under the
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volume = {29},
address = {Oxford},
year = {1970},
pages = {x+402},
mrclass = {00.04 (10.00)},
mrnumber = {0252149 (40 \#5374)},
reviews = {MR 40\#5374, Zbl 186.299},
printedkey = {Lee70}
}
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editor = {Newman, M. F.},
booktitle = {Proceedings of the Second International Conference on
the Theory of Groups, Canberra, 1973},
title = {Proceedings of the {S}econd {I}nternational
{C}onference on the {T}heory of {G}roups},
publisher = {Springer-Verlag},
series = {Lecture Notes in Math.},
volume = {372},
address = {Berlin},
year = {1974},
pages = {vii+740},
note = {Held at the Australian National University, Canberra,
August 13{\textendash}24, 1973, With an introduction
by B. H. Neumann, Lecture Notes in Mathematics, Vol.
372},
mrclass = {20-06},
mrnumber = {0344315 (49 \#9054)},
reviews = {MR 49\#9054, Zbl 282.00012},
printedkey = {New74}
}
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editor = {Bryce, R. A. and Cossey, J. and Newman, M. F.},
booktitle = {Group theory, Proc. Miniconf., Austral. Nat. Univ.,
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title = {Group theory},
publisher = {Springer-Verlag},
series = {Lecture Notes in Math.},
volume = {573},
address = {Berlin},
year = {1977},
pages = {v+146},
note = {Lecture Notes in Mathematics, Vol. 573},
mrclass = {20-06},
mrnumber = {0430032 (55 \#3040)},
reviews = {MR 55\#3040, Zbl 342.00008},
printedkey = {BCN77}
}
@proceedings{ Bielefeld77,
editor = {Mennicke, J. L.},
booktitle = {Proceedings of a Workshop held at the University of
Bielefeld, Bielefeld, June{\textendash}July 1977},
title = {Burnside groups},
publisher = {Springer},
series = {Lecture Notes in Mathematics},
volume = {806},
address = {Berlin},
year = {1980},
pages = {ii+274},
isbn = {3-540-10006-7},
mrclass = {20-06},
mrnumber = {586041 (81j:20002)},
reviews = {MR 81j:20002, Zbl 424.00008},
printedkey = {Men80}
}
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editor = {Ng, E. W.},
title = {Symbolic and algebraic computation},
publisher = {Springer-Verlag},
series = {Lecture Notes in Computer Science},
volume = {72},
address = {Berlin},
year = {1979},
pages = {xv+557},
note = {EUROSAM '79, an International Symposium held in
Marseille, June 1979},
isbn = {3-540-09519-5},
mrclass = {68-06 (68C20)},
mrnumber = {575677 (81d:68005)},
printedkey = {Ng79}
}
@proceedings{ Durham1982,
editor = {Atkinson, M. D.},
booktitle = {Proceedings of the London Mathematical Society
symposium held in Durham, July 30{\textendash}August
9, 1982},
title = {Computational group theory},
publisher = {Academic Press Inc. [Harcourt Brace Jovanovich
Publishers]},
address = {London},
year = {1984},
pages = {xii+375},
isbn = {0-12-066270-1},
mrclass = {20-06 (68-06)},
mrnumber = {760641 (85g:20001)},
printedkey = {Atk84}
}
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editor = {Campbell, C. M. and Robertson, E. F.},
booktitle = {Proceedings of the International Conference on Groups
held at the Mathematical Institute, University of St
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1981},
title = {Groups{\textendash}{S}t. {A}ndrews 1981},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Note Series},
volume = {71},
address = {Cambridge},
year = {1982},
pages = {viii+360},
isbn = {0-521-28974-2},
mrclass = {20-06},
mrnumber = {679152 (83j:20005)},
printedkey = {CR82}
}
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editor = {Cheng, K. N. and Leong, Y. K.},
booktitle = {Proceedings of the Singapore Group Theory Conference
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title = {Group theory},
publisher = {Walter de Gruyter \& Co.},
address = {Berlin},
year = {1989},
pages = {xviii + 586},
isbn = {3-11-011366-X},
mrclass = {20-06},
mrnumber = {981831 (89j:20001)},
printedkey = {CL89}
}
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editor = {Michler, G. O. and Ringel, C. M.},
booktitle = {Proceedings of the conference held at the University
of Bielefeld, Bielefeld, May 15{\textendash}17, 1991},
title = {Representation theory of finite groups and
finite-dimensional algebras},
publisher = {Birkh{\"a}user Verlag},
series = {Progress in Mathematics},
volume = {95},
address = {Basel},
year = {1991},
pages = {x+520},
isbn = {3-7643-2604-2},
mrclass = {20-06 (00B25 16-06 20Cxx)},
mrnumber = {1112154 (91m:20005)},
printedkey = {MR91}
}
@proceedings{ ISSAC91,
booktitle = {Proceedings of the International Symposium on Symbolic
and Algebraic Computation (ISSAC'91), Bonn 1991},
title = {Proceedings of the 1991 International Symposium on
Symbolic and Algebraic Computation (ISSAC'91), Bonn
1991},
publisher = {ACM Press},
year = {1991},
printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY}
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@proceedings{ ISSAC97,
editor = {K{\"u}chlin, W.},
title = {Proceedings of the 1997 {I}nternational {S}ymposium on
{S}ymbolic and {A}lgebraic {C}omputation},
organization = {The Association for Computing Machinery},
publisher = {Association for Computing Machinery (ACM)},
address = {New York},
year = {1997},
pages = {electronic},
note = {Held in Kihei, HI, July 21{\textendash}23, 1997},
key = {ACM},
mrclass = {68-06 (65-06 68W30)},
mrnumber = {1809584 (2001i:68010)}
}
@proceedings{ MR1805195,
editor = {Gloor, O.},
title = {Proceedings of the 1998 {I}nternational {S}ymposium on
{S}ymbolic and {A}lgebraic {C}omputation},
organization = {The Association for Computing Machinery},
publisher = {Association for Computing Machinery (ACM)},
address = {New York},
year = {1998},
pages = {front matter+321 pp. (electronic)},
note = {Held in Rostock, August 13{\textendash}15, 1998},
key = {ACM},
mrclass = {68-06 (00B25 68W30)},
mrnumber = {1805195 (2001m:68004)}
}
@proceedings{ DIMACS,
editor = {Finkelstein, L. and Kantor, W. M.},
booktitle = {Proceedings of the DIMACS Workshop held at Rutgers
University, New Brunswick, New Jersey, October
7{\textendash}10, 1991},
title = {Groups and computation},
publisher = {American Mathematical Society},
series = {DIMACS Series in Discrete Mathematics and Theoretical
Computer Science, 11},
address = {Providence, RI},
year = {1993},
pages = {xx+313},
isbn = {0-8218-6599-4},
mrclass = {20-06 (20B40)},
mrnumber = {1235790 (94c:20003)},
printedkey = {FK93}
}
@proceedings{ DIMACS2,
editor = {Finkelstein, L. and Kantor, W. M.},
booktitle = {Proceedings of the 2nd DIMACS Workshop held at Rutgers
University, New Brunswick, NJ, June 7{\textendash}10,
1995},
title = {Groups and computation. {II}},
publisher = {American Mathematical Society},
series = {DIMACS Series in Discrete Mathematics and Theoretical
Computer Science, 28},
address = {Providence, RI},
year = {1997},
pages = {xviii+382},
isbn = {0-8218-0516-9},
mrclass = {20-06 (68-06)},
mrnumber = {1444126 (97m:20003)},
printedkey = {FK97}
}
@proceedings{ DIMACS3,
editor = {Kantor, W. M. and Seress, {\a'A}.},
booktitle = {Proceedings of the 3rd International Conference held
at The Ohio State University, Columbus, OH, June
15{\textendash}19, 1999},
title = {Groups and computation. {III}},
publisher = {Walter de Gruyter \& Co.},
series = {Ohio State University Mathematical Research Institute
Publications, 8},
address = {Berlin},
year = {2001},
pages = {viii+368},
isbn = {3-11-016721-2},
mrclass = {20-06},
mrnumber = {1829467 (2002d:20003)},
printedkey = {KS01}
}
@proceedings{ DIMACS94,
editor = {Baumslag, G. and Epstein, D. and Gilman, R. and Short,
H. and Sims, C.},
booktitle = {Proceedings of the Joint DIMACS/Geometry Center
Workshop held at the University of Minnesota,
Minneapolis, Minnesota, January 3{\textendash}14, 1994
and Rutgers University, New Brunswick, New Jersey,
March 17{\textendash}20, 1994},
title = {Geometric and computational perspectives on infinite
groups},
publisher = {American Mathematical Society},
series = {DIMACS Series in Discrete Mathematics and Theoretical
Computer Science, 25},
address = {Providence, RI},
year = {1996},
pages = {xvi+212},
isbn = {0-8218-0449-9},
mrclass = {20F32 (20-06)},
mrnumber = {1364175 (96g:20055)},
printedkey = {BEGSS96}
}
@proceedings{ Groups93Vol1,
editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F.
and Tobin, S. J. and Ward, J. J.},
booktitle = {Proceedings of the International Conference held at
University College, Galway, August 1{\textendash}14,
1993},
title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 1},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Note Series},
volume = {211},
address = {Cambridge},
year = {1995},
pages = {xii+304},
isbn = {0-521-47749-2},
mrclass = {20-06},
mrnumber = {1342775 (96b:20001a)},
printedkey = {CHRTW95}
}
@proceedings{ Groups93Vol2,
editor = {Campbell, C. M. and Hurley, T. C. and Robertson, E. F.
and Tobin, S. J. and Ward, J. J.},
booktitle = {Proceedings of the International Conference held at
University College, Galway, August 1{\textendash}14,
1993},
title = {Groups '93 {G}alway/{S}t. {A}ndrews. {V}ol. 2},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Note Series},
volume = {212},
address = {Cambridge},
year = {1995},
pages = {i{\textendash}xii and 305{\textendash}609},
isbn = {0-521-47750-6},
mrclass = {20-06},
mrnumber = {1337278 (96b:20001b)},
printedkey = {CHRTW95}
}
@proceedings{ Luminy94,
editor = {Cabanes, M.},
booktitle = {Proceedings of the International Conference held in
Luminy, October 3{\textendash}7, 1994},
title = {Finite reductive groups},
publisher = {Birkh{\"a}user Boston Inc.},
series = {Progress in Mathematics},
volume = {141},
address = {Boston, MA},
year = {1997},
pages = {xii+452},
note = {Related structures and representations},
isbn = {0-8176-3885-7},
mrclass = {20-06 (20G40)},
mrnumber = {1429866 (97i:20001)},
printedkey = {Cab97}
}
@proceedings{ ISSAC98,
booktitle = {ISSAC '98: Proceedings of the 1998 international
symposium on Symbolic and algebraic computation},
title = {ISSAC '98: Proceedings of the 1998 international
symposium on Symbolic and algebraic computation},
organization = {ACM},
publisher = {ACM Press},
address = {New York, NY, USA},
year = {1998},
note = {Chairman: Volker Weispfenning and Barry Trager},
isbn = {1-58113-002-3},
location = {Rostock, Germany},
source = {ACM Order No.: 505980, ACM member price \$25},
printedkey = {NOAUTHOROREDITOR{\textunderscore}SPECIFYKEY}
}
@article{ MR1820589,
author = {Schur, J.},
title = {On the representation of the symmetric and alternating
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journal = {Internat. J. Theoret. Phys.},
volume = {40},
number = {1},
year = {2001},
pages = {413{\textendash}458},
note = {Translated from the German [J. Reine Angew. Math. 139
(1911), 155{\textendash}250] by Marc-Felix Otto},
coden = {IJTPBM},
fjournal = {International Journal of Theoretical Physics},
issn = {0020-7748},
mrclass = {20C25 (05E05 20C30)},
mrnumber = {1820589 (2003a:20016)},
mrreviewer = {Tadeusz J{\a'o}zefiak},
url = {http://dx.doi.org/10.1023/A:1003772419522},
doi = {10.1023/A:1003772419522},
printedkey = {Sch01}
}
@article{ Schur1911,
author = {Schur, J.},
title = {{\"U}ber die Darstellung der symmetrischen und der
alternierenden Gruppe durch gebrochene lineare
Substitutionen},
journal = {Journal f{\"u}r die reine und angewandte Mathematik},
volume = {139},
year = {1911},
pages = {155{\textendash}250},
url = {http://www.digizeitschriften.de/resolveppn/GDZPPN002167298},
jfm = {42.0154.02},
printedkey = {Sch11}
}
@article{ Maas2010,
author = {Maas, L.},
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symmetric groups},
journal = {Communications in Algebra},
volume = {38},
year = {2010},
pages = {4545{\textendash}4552},
url = {http://arxiv.org/abs/0911.3794},
doi = {10.1080/00927872.2010.490541},
printedkey = {Maa10}
}
@article{ BLS1975,
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title = {New primality criteria and factorizations of $2^m \pm
1$},
journal = {Mathematics of Computation},
volume = {29},
year = {1975},
pages = {620{\textendash}647},
url = {http://dx.doi.org/10.2307/2005583},
doi = {10.2307/2005583},
printedkey = {BLS75}
}