Dear forum, thanks with the help yesterday on permutation representations.
I had another related question: suppose I have some groups (let us assume of the same size but not necessarily isomorphic), represented by permutations on sets of the same size. Is there any way to determine if the representations are equivalent and if so, to actually see the equivalence?
To be specific, in this example: q:=3; h:=DirectProduct(CyclicGroup(q),CyclicGroup(q)); gtemp:=AutomorphismGroup(h); Difference(Elements(h),[Elements(h)[1]]); g:=Action(gtemp,Difference(Elements(h),[Elements(h)[1]]),OnPoints); w:=AllTransitiveGroups(DegreeOperation,q^2-1,Size,(q^2-1)*q*(q-1)); How could I see which group action in w is equivalent to g? Would this also be possible for much larger groups? Thanks, Kind regards, Frédéric _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
