Dear GAP Forum members, is there a quick way to directly access the factors of a semidirect product group?
I have constructed a semidirect product G = N \rtimes_\theta P, where P, N are groups, where P acts on N via a homomorphism \theta: P \longrightarrow Aut(N). How can I define the subgroups of G isomorphic to N and to P? I have tried to construct these as N \rtimes_\theta_0 { 1}, and {1} \rtimes_\theta_0 P, where \theta_0 : P \longrightarrow Aut(N) is trivial, but on GAP they are not subgroups of G. Sincerely, Sandeep. _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum