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**[SOLVED] An Abelian Group Problem**

**Homework Statement**

Prove: If G is a group where the square of every element equals the identity element, then G is Abelian.

**The attempt at a solution**

I've been able to prove is that a

^{-1}= a and that (ab)

^{-1}= ba where a and b are in G. Everything else I've done leads into a dead-end. Any tips?