(adsbygoogle = window.adsbygoogle || []).push({}); Proof showing group is abelian???

1. The problem statement, all variables and given/known data

Show that every group G with identity e such that x*x=e for all x in G is abelian.

3. The attempt at a solution

I know that Ii have to show that it's commutative. I start by taking x,y in G and then xy is in G, so

x*x=e

y*y=e,

so (x*y)*(x*y)=e

I'm not sure where to go from here to show that it's commutative...any help is appreciated. Thank you.

I'm not sure where to go from here

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# Homework Help: Proof showing group is abelian?

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