Hi,
Suppose the following groups and ActionHomomorphisms :
gap> G:=Group((1,2));
gap> H := Group((3,4));
gap> hom := ActionHomomorphism(G,[[1,3],[2,4]],OnSets);
gap> hom2 := ActionHomomorphism(H,[[1,3],[2,4]],OnSets);
Asking for Image(hom), i get :
gap> Image(hom);
Group([ (1,2) ])
But when i try Image(hom2), i get :
gap> Image(hom2);
Group([ () ])
I can't figure out why the image of hom2 is an empty group, i expect a
S_2 group for both homomorphism. Is anyone here can explain this ?
+
--
Pierre-Alain BOURDIL
[email protected] <mailto:[email protected]>
[email protected]
<mailto:[email protected]>
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