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




Re: Let G be a group , N a normal subgroup of G
Posted:
Feb 5, 2013 3:46 PM


In article <692dbadfec9e40cfa2a39348d0aedad7@fv9g2000vbb.googlegroups.com>, Dan <dan.ms.chaos@gmail.com> wrote:
> Does there always exist a subgroup H of G such that G = NH , and > (H intersection N) = the identity element?
You've had the general answer "no", but the situation you describe is quite significant. Such a group G is called a "split extension" or a "semidirect product". You may like to look up those terms.
Ken Pledger.



