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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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J. Antonio Perez M.

Posts: 2,736
Registered: 12/13/04
Re: Let G be a group , N a normal subgroup of G
Posted: Feb 5, 2013 9:08 AM
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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.

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