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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Let G be a group , N a normal subgroup of G
Replies: 13   Last Post: Feb 6, 2013 6:11 AM

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dan.ms.chaos@gmail.com

Posts: 393
Registered: 3/1/08
Re: Let G be a group , N a normal subgroup of G
Posted: Feb 5, 2013 9:14 AM
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On Feb 5, 4:08 pm, Tonic...@yahoo.com wrote:
> On Tuesday, February 5, 2013 3:27:33 PM UTC+2, Dan wrote:
> > Does there always exist a subgroup H of G such that G = NH  , and
>
> > (H intersection N) = the identity element?
>
> Well, you can always take H = G , N = {1} , but it you actually meant proper
>
> subgroups, then try to do this with the cyclic group Z_4, say.

Doh ... that was easy . Thanks .

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