Kaba
Posts:
289
Registered:
5/23/11


Re: Epimorphic groups
Posted:
Apr 4, 2013 7:11 PM


5.4.2013 2:06, Kaba wrote: > Let G, G', and H be groups with G a subgroup of G'. Let f : G > H and > f' : G' > H be surjective homomorphisms such that f' = fG', the > restriction of f to G'. The kernels of f and f' are equal. Does it then > follow that G = G'?
Mixed the dots... Let's try again:
Let G, G', and H be groups with G a subgroup of G'. Let f : G > H and f' : G' > H be surjective homomorphisms such that f = f'G, the restriction of f' to G. The kernels of f and f' are equal. Does it then follow that G = G'?
 http://kaba.hilvi.org

