# Math Help - Prove that if x = x^(-1) for all x in the group G, then G is abelian

1. ## Prove that if x = x^(-1) for all x in the group G, then G is abelian

Prove that if x = x^(-1) for all x in the group G, then G is abelian.

2. Originally Posted by rainyice
Prove that if x = x^(-1) for all x in the group G, then G is abelian.

For all $a,b\in G\,,\,\,ab=(ab)^{-1}$ ....develop this now.

Tonio

3. Originally Posted by tonio
For all $a,b\in G\,,\,\,ab=(ab)^{-1}$ ....develop this now.

Tonio

Thanks for the hint, but it wasn't helpful without explaination. But still thank you. Someone helped me through this problem already.