autos.gd

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#W  autos.gd                 AutPGrp package                     Bettina Eick
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#C Choose functionality 
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if not IsBound( InitAutGroup ) then InitAutGroup := false; fi;
if not IsBound( CHOP_MULT ) then CHOP_MULT := true; fi;
if not IsBound( NICE_STAB ) then NICE_STAB := true; fi;
if not IsBound( REDU_OPER ) then REDU_OPER := false; fi;
if not IsBound( USE_LABEL ) then USE_LABEL := false; fi;
if not IsBound( CHECK ) then CHECK := false; fi;

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#D Declarations for PGAutomorphisms
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DeclareRepresentation( "IsPGAutomorphismRep",
                       IsGroupGeneralMappingByImages,
                       ["base", "baseimgs", "pcgs", "pcgsimgs"] );

IsPGAutomorphism := IsMapping and IsPGAutomorphismRep;
DeclareOperation( "PGAutomorphism", [ IsPGroup, IsList, IsList ] );


DeclareGlobalFunction( "AutomorphismGroupPGroup" );
DeclareGlobalFunction( "PcGroupAutPGroup" );
DeclareGlobalFunction( "ConvertHybridAutGroup" );
DeclareGlobalFunction( "PGOrbitStabilizer" );
DeclareGlobalFunction( "IdentityPGAutomorphism" );

DeclareGlobalFunction( "CountOrbitsGL" );
DeclareGlobalFunction( "NumberOfPClass2PGroups" );
DeclareGlobalFunction( "NumberOfClass2LieAlgebras" );

DeclareOperation( "PGMult", [IsObject, IsObject] );
DeclareOperation( "PGInverse",[IsObject] );
DeclareOperation( "PGPower",[IsInt, IsObject] );
DeclareOperation( "PGMultList", [IsList] );

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#V for external applications
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DeclareGlobalFunction( "ImageAutPGroup" );
DeclareGlobalFunction( "InnerAutGroupPGroup" );
DeclareGlobalFunction( "ConvertAutGroup" );
DeclareGlobalFunction( "InduceAutGroup" );
DeclareGlobalFunction( "EcheloniseMat" );
DeclareGlobalFunction( "LinearActionAutGrp" );
DeclareGlobalFunction( "AddInfoCover" );
DeclareGlobalFunction( "InitAutomorphismGroupOver" );