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February 19th, 2013, 01:55 PM   #1
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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.
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February 20th, 2013, 07:37 AM   #2
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Re: Normal subgroups

Hint: Show that .
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February 20th, 2013, 08:28 AM   #3
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Re: Normal Subgroups

Thank you, I will check this out.
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