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

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Kaba

Posts: 289
Registered: 5/23/11
Re: Epimorphic groups
Posted: Apr 4, 2013 7:11 PM
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5.4.2013 2:06, Kaba wrote:
> Let G, G', and H be groups with G a sub-group 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'?


Mixed the dots... Let's try again:

Let G, G', and H be groups with G a sub-group 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



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