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#############################################################################
##
#W ghompcgs.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
##
#############################################################################
##
#R IsGroupGeneralMappingByPcgs(<map>)
##
## <#GAPDoc Label="IsGroupGeneralMappingByPcgs">
## <ManSection>
## <Filt Name="IsGroupGeneralMappingByPcgs" Arg='map' Type='Representation'/>
##
## <Description>
## is the representations for mappings that map a pcgs to images and thus
## may use exponents to decompose generators.
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareRepresentation( "IsGroupGeneralMappingByPcgs",
IsGroupGeneralMappingByImages,
[ "generators", "genimages", "sourcePcgs", "sourcePcgsImages" ] );
#############################################################################
##
#R IsPcGroupGeneralMappingByImages(<map>)
#R IsPcGroupHomomorphismByImages(<map>)
##
## <#GAPDoc Label="IsPcGroupGeneralMappingByImages">
## <ManSection>
## <Filt Name="IsPcGroupGeneralMappingByImages" Arg='map' Type='Representation'/>
## <Filt Name="IsPcGroupHomomorphismByImages" Arg='map' Type='Representation'/>
##
## <Description>
## is the representation for mappings from a pc group
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareRepresentation( "IsPcGroupGeneralMappingByImages",
IsGroupGeneralMappingByPcgs,
[ "generators", "genimages", "sourcePcgs", "sourcePcgsImages" ] );
DeclareSynonym("IsPcGroupHomomorphismByImages",
IsPcGroupGeneralMappingByImages and IsMapping);
#############################################################################
##
#R IsToPcGroupGeneralMappingByImages( <map>)
#R IsToPcGroupHomomorphismByImages( <map>)
##
## <#GAPDoc Label="IsToPcGroupGeneralMappingByImages">
## <ManSection>
## <Filt Name="IsToPcGroupGeneralMappingByImages" Arg='map' Type='Representation'/>
## <Filt Name="IsToPcGroupHomomorphismByImages" Arg='map' Type='Representation'/>
##
## <Description>
## is the representation for mappings to a pc group
## </Description>
## </ManSection>
## <#/GAPDoc>
##
DeclareRepresentation( "IsToPcGroupGeneralMappingByImages",
IsGroupGeneralMappingByImages,
[ "generators", "genimages", "rangePcgs", "rangePcgsPreimages" ] );
DeclareSynonym("IsToPcGroupHomomorphismByImages",
IsToPcGroupGeneralMappingByImages and IsMapping);
#############################################################################
##
#O NaturalIsomorphismByPcgs( <grp>, <pcgs> ) . . presentation through <pcgs>
##
## <ManSection>
## <Oper Name="NaturalIsomorphismByPcgs" Arg='grp, pcgs'/>
##
## <Description>
## </Description>
## </ManSection>
##
DeclareOperation( "NaturalIsomorphismByPcgs", [ IsGroup, IsPcgs ] );
#############################################################################
##
#R IsNaturalHomomorphismPcGroupRep . . . . . . . . natural hom in a pc group
##
## <ManSection>
## <Filt Name="IsNaturalHomomorphismPcGroupRep" Arg='obj' Type='Representation'/>
##
## <Description>
## </Description>
## </ManSection>
##
DeclareRepresentation( "IsNaturalHomomorphismPcGroupRep",
IsGroupHomomorphism and IsSurjective and IsSPGeneralMapping and
IsAttributeStoringRep,
[ "sourcePcgs", "rangePcgs" ] );
#############################################################################
##
#R IsPcgsToPcgsGeneralMappingByImages(<obj>)
##
## <ManSection>
## <Filt Name="IsPcgsToPcgsGeneralMappingByImages" Arg='obj' Type='Representation'/>
##
## <Description>
## </Description>
## </ManSection>
##
DeclareRepresentation( "IsPcgsToPcgsGeneralMappingByImages",
IsPcGroupGeneralMappingByImages and IsToPcGroupGeneralMappingByImages,
[ "generators", "genimages", "sourcePcgs", "sourcePcgsImages",
"rangePcgs", "rangePcgsPreimages" ] );
DeclareSynonym( "IsPcgsToPcgsHomomorphism",
IsPcgsToPcgsGeneralMappingByImages and IsMapping);
#############################################################################
##
#E
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