| Current Path : /usr/share/doc/gap-primgrp/doc/ |
Linux ift1.ift-informatik.de 5.4.0-216-generic #236-Ubuntu SMP Fri Apr 11 19:53:21 UTC 2025 x86_64 |
| Current File : //usr/share/doc/gap-primgrp/doc/chap0_mj.html |
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<script type="text/javascript"
src="mathjax/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
</script>
<title>GAP (primgrp) - Contents</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<meta name="generator" content="GAPDoc2HTML" />
<link rel="stylesheet" type="text/css" href="manual.css" />
<script src="manual.js" type="text/javascript"></script>
<script type="text/javascript">overwriteStyle();</script>
</head>
<body class="chap0" onload="jscontent()">
<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1</a> <a href="chap2_mj.html">2</a> <a href="chapBib_mj.html">Bib</a> <a href="chapInd_mj.html">Ind</a> </div>
<div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.html#contents">[Contents]</a> <a href="chap1_mj.html">[Next Chapter]</a> </div>
<p id="mathjaxlink" class="pcenter"><a href="chap0.html">[MathJax off]</a></p>
<p><a id="X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5"></a></p>
<div class="pcenter">
<h1><strong class="pkg">PrimGrp</strong></h1>
<h2><strong class="pkg">GAP</strong> Primitive Permutation Groups Library</h2>
<p>Version 3.3.2</p>
<p>27 October 2018</p>
</div>
<p><b>Alexander Hulpke
</b>
<br />Email: <span class="URL"><a href="mailto:hulpke@math.colostate.edu">hulpke@math.colostate.edu</a></span>
<br />Homepage: <span class="URL"><a href="http://www.math.colostate.edu/~hulpke">http://www.math.colostate.edu/~hulpke</a></span>
<br />Address: <br />Department of Mathematics<br /> Colorado State University<br /> Fort Collins, CO, 80523-1874, USA
</p><p><b>Colva Roney-Dougal
</b>
<br />Email: <span class="URL"><a href="mailto:colva@mcs.st-andrews.ac.uk">colva@mcs.st-andrews.ac.uk</a></span>
<br />Homepage: <span class="URL"><a href="http://www-groups.mcs.st-and.ac.uk/~colva/">http://www-groups.mcs.st-and.ac.uk/~colva/</a></span>
<br />Address: <br />School of Mathematics and Statistics<br /> University of St Andrews<br /> North Haugh, St Andrews<br /> Fife, KY16 9SXS Scotland
</p><p><b>Christopher Russell
</b>
<br />Email: <span class="URL"><a href="mailto:cr66@st-andrews.ac.uk">cr66@st-andrews.ac.uk</a></span>
<br />Address: <br />School of Mathematics and Statistics<br /> University of St Andrews<br /> North Haugh, St Andrews<br /> Fife, KY16 9SXS Scotland
</p>
<p><a id="X7AA6C5737B711C89" name="X7AA6C5737B711C89"></a></p>
<h3>Abstract</h3>
<p>The <strong class="pkg">GAP</strong> package <strong class="pkg">PrimGrp</strong> provides the library of primitive permutation groups which includes, up to permutation isomorphism (i.e., up to conjugacy in the corresponding symmetric group), all primitive permutation groups of degree < 4096.</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 2007-2018 by Alexander Hulpke and Colva Roney-Dougal</p>
<p><strong class="pkg">PrimGrp</strong> is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. For details, see the FSF's own site <span class="URL"><a href="http://www.gnu.org/licenses/gpl.html">http://www.gnu.org/licenses/gpl.html</a></span>.</p>
<p>If you obtained <strong class="pkg">PrimGrp</strong>, we would be grateful for a short notification sent to one of the authors.</p>
<p>If you publish a result which was partially obtained with the usage of <strong class="pkg">PrimGrp</strong>, please cite it in the following form:</p>
<p>A. Hulpke, C. Roney-Dougal, C. Russell. <em>PrimGrp --- GAP Primitive Permutation Groups Library, Version 3.3.2;</em> 2018 (<span class="URL"><a href="https://gap-packages.github.io/primgrp/">https://gap-packages.github.io/primgrp/</a></span>).</p>
<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p>
<h3>Acknowledgements</h3>
<p>The conversion of the <strong class="pkg">GAP</strong> database of primitive permutation groups to a separate <strong class="pkg">GAP</strong> package has been supported by the EPSRC Collaborative Computational Project EP/M022641/1 CoDiMa (CCP in the area of Computational Discrete Mathematics), <span class="URL"><a href="http://www.codima.ac.uk/">http://www.codima.ac.uk/</a></span>.</p>
<p><a id="X7982162280BC7A61" name="X7982162280BC7A61"></a></p>
<h3>Colophon</h3>
<p>Versions history:</p>
<ul>
<li><p>Version 3.1 - Autumn 2017.</p>
</li>
</ul>
<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8"></a></p>
<div class="contents">
<h3>Contents<a id="contents" name="contents"></a></h3>
<div class="ContChap"><a href="chap1_mj.html#X7AE00EA7791F2574">1 <span class="Heading">Primitive Permutation Groups</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X7AE00EA7791F2574">1.1 <span class="Heading">Primitive Permutation Groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X7BCEA0C57B6D9F42">1.1-1 PrimitiveGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X8564FECC8477F199">1.1-2 NrPrimitiveGroups</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X86EF380E8007D304">1.1-3 AllPrimitiveGroups</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X82870C177DB70470">1.1-4 OnePrimitiveGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X7B1D4C0483A7F444">1.1-5 PrimitiveGroupsIterator</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X81329B9B7F5FF8DE">1.1-6 COHORTS_PRIMITIVE_GROUPS</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html#X7DA239CC848F6CAE">1.2 <span class="Heading">Index numbers of primitive groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X870400597FD4E392">1.2-1 PrimitiveIdentification</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X790D50447ABDF7EE">1.2-2 SimsNo</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap1_mj.html#X784820DA86D0E6F4">1.2-3 PRIMITIVE_INDICES_MAGMA</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chap2_mj.html#X78C56BAA804A56A1">2 <span class="Heading">Irreducible Matrix Groups</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X82FD673384BF353B">2.1 <span class="Heading">Irreducible Solvable Matrix Groups</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7DF4B4D683A727E8">2.1-1 IrreducibleSolvableGroupMS</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X836AEF4A7E494724">2.1-2 NumberIrreducibleSolvableGroups</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X7DAC64F17C8B49A2">2.1-3 AllIrreducibleSolvableGroups</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X844E60B87FC48D1B">2.1-4 OneIrreducibleSolvableGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X81B11EE77EFA745E">2.1-5 PrimitiveIndexIrreducibleSolvableGroup</a></span>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2_mj.html#X816FF4DD8267B4A7">2.1-6 IrreducibleSolvableGroup</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chapBib_mj.html"><span class="Heading">References</span></a></div>
<div class="ContChap"><a href="chapInd_mj.html"><span class="Heading">Index</span></a></div>
<br />
</div>
<div class="chlinkprevnextbot"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.html#contents">[Contents]</a> <a href="chap1_mj.html">[Next Chapter]</a> </div>
<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0_mj.html">Top</a> <a href="chap1_mj.html">1</a> <a href="chap2_mj.html">2</a> <a href="chapBib_mj.html">Bib</a> <a href="chapInd_mj.html">Ind</a> </div>
<hr />
<p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>