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Topic:
Epimorphic groups
Replies:
10
Last Post:
Apr 5, 2013 3:37 PM



Kaba
Posts:
289
Registered:
5/23/11


Re: Epimorphic groups
Posted:
Apr 4, 2013 7:06 PM


Let me add an additional property:
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'?
 http://kaba.hilvi.org



