Prove that if x = x^(-1) for all x in the group G, then G is abelian.
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Originally Posted by rainyice Prove that if x = x^(-1) for all x in the group G, then G is abelian. For all $\displaystyle a,b\in G\,,\,\,ab=(ab)^{-1}$ ....develop this now. Tonio
Originally Posted by tonio For all $\displaystyle a,b\in G\,,\,\,ab=(ab)^{-1}$ ....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.
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