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 February 19th, 2013, 01:55 PM #1 Newbie   Joined: Feb 2013 Posts: 3 Thanks: 0 Normal Subgroups I am having trouble with this proof... Any help/hints would be nice. (Note: please do not post the entire solution right away, this is for home work). G is a group s.t. n is in the integers, n>1, where (ab)^n=a^n b^n. Prove G^n={x^n s.t x element of G} is a normal subgroup of G. I already have proved it is a subgroup, and I know it is normal iff for all g in G, g^-1hg is in H for all h in G.
 February 20th, 2013, 07:37 AM #2 Member   Joined: Jan 2013 Posts: 93 Thanks: 0 Re: Normal subgroups Hint: Show that $gx^ng^{-1}=(gxg^{-1})^n$.
 February 20th, 2013, 08:28 AM #3 Newbie   Joined: Feb 2013 Posts: 3 Thanks: 0 Re: Normal Subgroups Thank you, I will check this out.

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