here's the prob Prove if K is a normal subgroup of a group G then where . I have a theorem i feel like i should be able to use but i'm not sure how...this is it Let and let then and if then . any ideas?
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Originally Posted by delilahjam here's the prob Prove if K is a normal subgroup of a group G then where . I have a theorem i feel like i should be able to use but i'm not sure how...this is it Let and let then and if then . any ideas? I think that .
Originally Posted by ThePerfectHacker I think that . I agree, but I can't just take a single commutator. The elements of K' are of the form for some
Originally Posted by delilahjam I agree, but I can't just take a single commutator. The elements of K' are of the form for some it's a simple observation that if a subgroup of a group is generated by a set of elements, say then is normal in if and only if for all the reason is that if then for some but then: i think you see my point now!
Last edited by NonCommAlg; May 1st 2009 at 04:20 AM.
awesome thanks!
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