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gap> START_TEST("Test of factor groups and natural homomorphisms");
#
gap> G:=HeisenbergPcpGroup(2);
Pcp-group with orders [ 0, 0, 0, 0, 0 ]
#
gap> H:=Subgroup(G,[G.2,G.3,G.4,G.5]);
Pcp-group with orders [ 0, 0, 0, 0 ]
gap> K:=G/H;
Pcp-group with orders [ 0 ]
gap> NaturalHomomorphismByNormalSubgroup(G, H);
[ g1, g2, g3, g4, g5 ] -> [ g1, id, id, id, id ]
#
gap> A:=Subgroup(H, [G.3]);
Pcp-group with orders [ 0 ]
gap> B:=Subgroup(Subgroup(G,[G.1,G.4,G.5]), [G.4]);
Pcp-group with orders [ 0 ]
gap> Normalizer(A,B);
Pcp-group with orders [ 0 ]
gap> # The following used to trigger the error "arguments must have a common parent group"
gap> Normalizer(B,A);
Pcp-group with orders [ 0 ]
#
gap> STOP_TEST( "factor.tst", 10000000);
[ Dauer der Verarbeitung: 0.21 Sekunden
(vorverarbeitet)
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