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Group with an endomorphism that is “almost” abelian is abelian

If $G$ is a finite group and $(ab)^3= a^3b^3$, and $3 \nmid o(G)$, then how do I prove that $G$ is abelian?


marked as duplicate by JavaMan, Hans Lundmark, Fixee, Sasha, Jack Schmidt Sep 25 '11 at 16:13

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