Dear Forum, Suppose I have two groups G, H, and a homomorphism f : G --> H, defined using "GroupHomomorphismByImages".
Suppose I know that f is surjective, and that moreover there is a generating set X of H for which I can provide explicit preimages in G. Is there a way of giving GAP this information? Ie, in my situation, trying to call the PreImage operation on f sometimes takes over 5 minutes (at which point I opted to break), but presumably if I can give GAP explicit preimages for generators, it can then decompose every element of H as a word in those generators, and use the explicit preimages to find a preimage for that word. If necessary, I'm happy to assume that G,H are finitely presented. - Will -- William Chen NSF Postdoctoral Fellow, Department of Mathematics McGill University, Montreal, Quebec, H3A 0B9 oxei...@gmail.com _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum