55 lines
2.4 KiB
GDScript3
55 lines
2.4 KiB
GDScript3
#############################################################################
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##
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#W iso.gd Isomorphisms and isotopisms [loops]
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##
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#H @(#)$Id: iso.gd, v 3.4.0 2016/12/13 gap Exp $
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##
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#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
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#Y P. Vojtechovsky (University of Denver, USA)
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##
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#############################################################################
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## DISCRIMINATOR
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## -------------------------------------------------------------------------
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DeclareOperation( "Discriminator", [ IsQuasigroup ] );
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DeclareOperation( "AreEqualDiscriminators", [ IsList, IsList ] );
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#############################################################################
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## ISOMORPHISMS OF QUASIGROUPS AND LOOPS
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## -------------------------------------------------------------------------
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DeclareOperation( "IsomorphismQuasigroups", [ IsQuasigroup, IsQuasigroup ] );
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DeclareOperation( "IsomorphismLoops", [ IsLoop, IsLoop ] );
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DeclareOperation( "QuasigroupsUpToIsomorphism", [ IsList ] );
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DeclareOperation( "LoopsUpToIsomorphism", [ IsList ] );
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DeclareOperation( "QuasigroupIsomorph", [ IsQuasigroup, IsPerm ] );
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DeclareOperation( "LoopIsomorph", [ IsLoop, IsPerm ] );
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DeclareOperation( "IsomorphicCopyByPerm", [ IsQuasigroup, IsPerm ] );
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DeclareOperation( "IsomorphicCopyByNormalSubloop", [ IsLoop, IsLoop ] );
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#############################################################################
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## AUTOMORPHISMS AND AUTOMORPHISM GROUPS
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## -------------------------------------------------------------------------
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# AutomorphismGroup already declared for groups
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#############################################################################
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## ISOTOPISM OF LOOPS
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## ------------------------------------------------------------------------
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DeclareOperation( "IsotopismLoops", [ IsLoop, IsLoop ] );
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DeclareOperation( "LoopsUpToIsotopism", [ IsList ] );
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#############################################################################
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## AUXILIARY
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## -------------------------------------------------------------------------
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DeclareGlobalFunction( "IsomorphismQuasigroupsNC" );
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DeclareGlobalFunction( "LOOPS_EfficientGenerators" );
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DeclareGlobalFunction( "LOOPS_ExtendHomomorphismByClosingSource" );
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DeclareGlobalFunction( "LOOPS_ExtendIsomorphism" );
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DeclareGlobalFunction( "LOOPS_SublistPosition" );
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DeclareGlobalFunction( "LOOPS_AutomorphismsFixingSet" );
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