(A) Let (G,*) be a group such that x*x=eG for all x in G. Prove G is commutative.(adsbygoogle = window.adsbygoogle || []).push({});

(B) Give a specific example of an infinite group (G,*) such that x*x=eG for all x in G.

I have not gotten very far, just to let two variable x,y be in G and I know that (x*y)*(x*y) = eG .. I'm not sure where to go from here..

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# Homework Help: Prove commutative

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