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############################################################################# ## #W grpreps.gd GAP library Bettina Eick ## #Y Copyright (C) 1997, Lehrstuhl D für Mathematik, RWTH Aachen, Germany #Y (C) 1998 School Math and Comp. Sci., University of St Andrews, Scotland #Y Copyright (C) 2002 The GAP Group ## ############################################################################# ## #O AbsolutelyIrreducibleModules( <G>, <F>, <dim> ) #O AbsoluteIrreducibleModules( <G>, <F>, <dim> ) #O AbsolutIrreducibleModules( <G>, <F>, <dim> ) ## ## <#GAPDoc Label="AbsoluteIrreducibleModules"> ## <ManSection> ## <Oper Name="AbsolutelyIrreducibleModules" Arg='G, F, dim'/> ## <Oper Name="AbsoluteIrreducibleModules" Arg='G, F, dim'/> ## <Oper Name="AbsolutIrreducibleModules" Arg='G, F, dim'/> ## ## <Description> ## returns a list of length 2. The first entry is a generating system of ## <A>G</A>. The second entry is a list of all absolute irreducible modules of ## <A>G</A> over the field <A>F</A> in dimension <A>dim</A>, given as MeatAxe modules ## (see <Ref Func="GModuleByMats" Label="for generators and a field"/>). ## The other two names are just synonyms. ## </Description> ## </ManSection> ## <#/GAPDoc> ## DeclareOperation( "AbsolutIrreducibleModules", [ IsGroup, IsField, IsInt ] ); DeclareSynonym( "AbsoluteIrreducibleModules", AbsolutIrreducibleModules ); DeclareSynonym( "AbsolutelyIrreducibleModules", AbsolutIrreducibleModules ); ############################################################################# ## #O IrreducibleModules( <G>, <F>, <dim> ) ## ## <#GAPDoc Label="IrreducibleModules"> ## <ManSection> ## <Oper Name="IrreducibleModules" Arg='G, F, dim'/> ## ## <Description> ## returns a list of length 2. The first entry is a generating system of ## <A>G</A>. The second entry is a list of all irreducible modules of ## <A>G</A> over the field <A>F</A> in dimension <A>dim</A>, given as MeatAxe modules ## (see <Ref Func="GModuleByMats" Label="for generators and a field"/>). ## </Description> ## </ManSection> ## <#/GAPDoc> ## DeclareOperation( "IrreducibleModules", [ IsGroup, IsField, IsInt ] ); ############################################################################# ## #O RegularModule( <G>, <F> ) ## ## <#GAPDoc Label="RegularModule"> ## <ManSection> ## <Oper Name="RegularModule" Arg='G, F'/> ## ## <Description> ## returns a list of length 2. The first entry is a generating system of ## <A>G</A>. ## The second entry is the regular module of <A>G</A> over <A>F</A>, ## given as a MeatAxe module ## (see <Ref Func="GModuleByMats" Label="for generators and a field"/>). ## </Description> ## </ManSection> ## <#/GAPDoc> ## DeclareOperation( "RegularModule", [ IsGroup, IsField ] ); ############################################################################# DeclareGlobalFunction( "RegularModuleByGens" ); ############################################################################# ## #E