Quelle grpreps.tst Sprache: unbekannt

#@local G1, G2, F, res1, res2;
gap> START_TEST( "grpreps.tst" );

# Compare the two methods for 'AbsolutelyIrreducibleModules'.
gap> G1:= DihedralGroup( 10 );;
gap> G2:= DihedralGroup( IsPermGroup, 10 );;
gap> F:= GF(2);;
gap> # Make sure that different methods will be called.
gap> ApplicableMethod( AbsolutelyIrreducibleModules, [ G1, F, 10 ] )
> <> ApplicableMethod( AbsolutelyIrreducibleModules, [ G2, F, 10 ] );
true
gap> res1:= AbsolutelyIrreducibleModules( G1, F, 10 );;
gap> List( res1[2], r -> [ r.field, r.dimension ] );
[ [ GF(2), 1 ] ]
gap> res2:= AbsolutelyIrreducibleModules( G2, F, 10 );;
gap> List( res2[2], r -> [ r.field, r.dimension ] );
[ [ GF(2), 1 ] ]

# Test that the delegation between methods for 'IrreducibleModules' works.
gap> Length( IrreducibleModules( AlternatingGroup(5), GF(3), 1 )[2] ) = 1;
true
gap> Length( IrreducibleModules( Group( (1,2), (1,2) ), GF(3), 1 )[2] ) = 2;
true
gap> Length( IrreducibleModules( Group( (1,2), (1,2) ), GF(4), 1 )[2] ) = 1;
true
gap> Length( IrreducibleModules( Group( (1,2,3,4,5) ), GF(4), 1 )[2] ) = 1;
true
gap> Length( IrreducibleModules( CyclicGroup( IsFpGroup, 2 ), GF(3), 1 )[2] ) = 2;
true
gap> Length( IrreducibleModules( CyclicGroup( IsFpGroup, 2 ), GF(4), 1 )[2] ) = 1;
true
gap> Length( IrreducibleModules( SymmetricGroup(5), GF(3), 1 )[2] ) = 2;
true

#
gap> STOP_TEST( "grpreps.tst" );

Quelle grpreps.tst Sprache: unbekannt

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