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#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Heiko Theißen.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
#############################################################################
##
#R IsPcgsPermGroupRep . . . . . . . . . . . . . . . . . pcgs of perm group
##
## This is the representation for a pcgs of a perm group which computes
## exponents via a stabilizer chain. It may not be set for subsets (tails)
## as this could lead to wrong exponents.
## The `RelativeOrders' are a defining attribute of a perm group pcgs. They
## cannot be calculated via `PcSeries' and `Size'.
## Every Pcgs for a permutation group is automatically
## `IsFiniteOrdersPcgs'.
##
DeclareRepresentation( "IsPcgsPermGroupRep",
IsPcgsDefaultRep and IsFiniteOrdersPcgs, [ "group", "stabChain" ] );
#############################################################################
##
#R IsModuloPcgsPermGroupRep . . . . . . pcgs of factor group of perm group
##
DeclareRepresentation( "IsModuloPcgsPermGroupRep",
IsPcgsPermGroupRep,
[ "group", "stabChain", "series", "denominator" ] );
DeclareGlobalFunction( "AddNormalizingElementPcgs" );
DeclareGlobalFunction( "ExtendSeriesPermGroup" );
DeclareGlobalFunction( "TryPcgsPermGroup" );
DeclareGlobalFunction( "PcgsStabChainSeries" );
DeclareGlobalFunction( "ExponentsOfPcElementPermGroup" );
DeclareGlobalFunction( "PermpcgsPcGroupPcgs" );
DeclareGlobalFunction( "SolvableNormalClosurePermGroup" );
DeclareGlobalFunction( "TailOfPcgsPermGroup" );
DeclareGlobalFunction( "PcgsMemberPcSeriesPermGroup" );
DeclareGlobalFunction( "PermgroupSuggestPcgs" );
[ Dauer der Verarbeitung: 0.21 Sekunden
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