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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 IsPermGroupGeneralMapping(<map>)
#R IsPermGroupGeneralMappingByImages(<map>)
#R IsPermGroupHomomorphism(<map>)
#R IsPermGroupHomomorphismByImages(<map>)
##
## <#GAPDoc Label="IsPermGroupGeneralMapping">
## <ManSection>
## <Filt Name="IsPermGroupGeneralMapping" Arg='map' Type='Representation'/>
## <Filt Name="IsPermGroupGeneralMappingByImages" Arg='map' Type='Representation'/>
## <Filt Name="IsPermGroupHomomorphism" Arg='map' Type='Representation'/>
## <Filt Name="IsPermGroupHomomorphismByImages" Arg='map' Type='Representation'/>
##
## <Description>
## are the representations for mappings that map from a perm group
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareRepresentation( "IsPermGroupGeneralMapping",
IsGroupGeneralMapping,[]);
DeclareRepresentation( "IsPermGroupGeneralMappingByImages",
IsPermGroupGeneralMapping and IsGroupGeneralMappingByImages, [] );
DeclareSynonym( "IsPermGroupHomomorphism",
IsPermGroupGeneralMapping and IsMapping );
DeclareSynonym( "IsPermGroupHomomorphismByImages",
IsPermGroupGeneralMappingByImages and IsMapping );
#############################################################################
##
#R IsToPermGroupGeneralMappingByImages(<map>)
#R IsToPermGroupHomomorphismByImages(<map>)
##
## <#GAPDoc Label="IsToPermGroupGeneralMappingByImages">
## <ManSection>
## <Filt Name="IsToPermGroupGeneralMappingByImages" Arg='map' Type='Representation'/>
## <Filt Name="IsToPermGroupHomomorphismByImages" Arg='map' Type='Representation'/>
##
## <Description>
## is the representation for mappings that map to a perm group
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareRepresentation( "IsToPermGroupGeneralMappingByImages",
IsGroupGeneralMappingByImages,
[ "generators", "genimages" ] );
DeclareSynonym( "IsToPermGroupHomomorphismByImages",
IsToPermGroupGeneralMappingByImages and IsMapping );
#############################################################################
##
#F RelatorsPermGroupHom(<hom>,<gens>)
##
## <ManSection>
## <Func Name="RelatorsPermGroupHom" Arg='hom,gens'/>
##
## <Description>
## <C>RelatorsPermGroupHom</C> is an internal function which is called by the
## operation <C>IsomorphismFpGroupByGeneratorsNC</C> in case of a permutation group.
## It implements John Cannon's multi-stage relations finding algorithm as
## described in <Cite Key="Neu82"/>.
## </Description>
## </ManSection>
##
DeclareGlobalFunction("RelatorsPermGroupHom");
#############################################################################
DeclareGlobalFunction( "AddGeneratorsGenimagesExtendSchreierTree" );
DeclareGlobalFunction( "ImageSiftedBaseImage" );
DeclareGlobalFunction( "CoKernelGensIterator" );
DeclareGlobalFunction( "CoKernelGensPermHom" );
DeclareGlobalFunction( "StabChainPermGroupToPermGroupGeneralMappingByImages" );
DeclareGlobalFunction( "MakeStabChainLong" );
DeclareGlobalFunction( "ImageKernelBlocksHomomorphism" );
DeclareGlobalFunction( "PreImageSetStabBlocksHomomorphism" );
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