Kaba
Posts:
289
Registered:
5/23/11


Re: Epimorphic groups
Posted:
Apr 5, 2013 5:32 AM


5.4.2013 3:46, Butch Malahide wrote: > On Apr 4, 5:39 pm, Kaba <k...@nowhere.com> wrote: >> >> Let G, G', and H be groups with G a subgroup of G'. Let G and G' both >> be epimorphic (surjectively homomorphic) to H, with equal kernels for >> the epimorphisms. Does it then follow that G = G'? > > No. Let G' = H = Z, let G be a nontrivial proper subgroup of G', and > let f:G > H and f':G' > H be isomorphisms; both kernels are equal > to {0}.
Thanks for this too.
 http://kaba.hilvi.org

