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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 9:08 AM


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.



