53 lines
2.3 KiB
GDScript3
53 lines
2.3 KiB
GDScript3
|
#############################################################################
|
||
|
|
##
|
||
|
|
#W iso.gd Isomorphisms and isotopisms [loops]
|
||
|
|
##
|
||
|
|
#H @(#)$Id: iso.gd, v 3.2.0 2015/06/12 gap Exp $
|
||
|
|
##
|
||
|
|
#Y Copyright (C) 2004, G. P. Nagy (University of Szeged, Hungary),
|
||
|
|
#Y P. Vojtechovsky (University of Denver, USA)
|
||
|
|
##
|
||
|
|
|
||
|
|
|
||
|
|
#############################################################################
|
||
|
|
## DISCRIMINATOR
|
||
|
|
## -------------------------------------------------------------------------
|
||
|
|
DeclareOperation( "Discriminator", [ IsQuasigroup ] );
|
||
|
|
DeclareOperation( "AreEqualDiscriminators", [ IsList, IsList ] );
|
||
|
|
|
||
|
|
|
||
|
|
#############################################################################
|
||
|
|
## ISOMORPHISMS OF QUASIGROUPS AND LOOPS
|
||
|
|
## -------------------------------------------------------------------------
|
||
|
|
DeclareOperation( "IsomorphismQuasigroups", [ IsQuasigroup, IsQuasigroup ] );
|
||
|
|
DeclareOperation( "IsomorphismLoops", [ IsLoop, IsLoop ] );
|
||
|
|
DeclareOperation( "QuasigroupsUpToIsomorphism", [ IsList ] );
|
||
|
|
DeclareOperation( "LoopsUpToIsomorphism", [ IsList ] );
|
||
|
|
DeclareOperation( "IsomorphicCopyByPerm", [ IsQuasigroup, IsPerm ] );
|
||
|
|
DeclareOperation( "IsomorphicCopyByNormalSubloop", [ IsLoop, IsLoop ] );
|
||
|
|
|
||
|
|
|
||
|
|
#############################################################################
|
||
|
|
## AUTOMORPHISMS AND AUTOMORPHISM GROUPS
|
||
|
|
## -------------------------------------------------------------------------
|
||
|
|
|
||
|
|
# AutomorphismGroup already declared for groups
|
||
|
|
|
||
|
|
|
||
|
|
#############################################################################
|
||
|
|
## ISOTOPISM OF LOOPS
|
||
|
|
## ------------------------------------------------------------------------
|
||
|
|
DeclareOperation( "IsotopismLoops", [ IsLoop, IsLoop ] );
|
||
|
|
DeclareOperation( "LoopsUpToIsotopism", [ IsList ] );
|
||
|
|
|
||
|
|
|
||
|
|
#############################################################################
|
||
|
|
## AUXILIARY
|
||
|
|
## -------------------------------------------------------------------------
|
||
|
|
DeclareGlobalFunction( "IsomorphismQuasigroupsNC" );
|
||
|
|
DeclareGlobalFunction( "LOOPS_EfficientGenerators" );
|
||
|
|
DeclareGlobalFunction( "LOOPS_ExtendHomomorphismByClosingSource" );
|
||
|
|
DeclareGlobalFunction( "LOOPS_ExtendIsomorphism" );
|
||
|
|
DeclareGlobalFunction( "LOOPS_SublistPosition" );
|
||
|
|
DeclareGlobalFunction( "LOOPS_AutomorphismsFixingSet" );
|