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

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    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.
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  2. #2
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    Quote Originally Posted by rainyice View Post
    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
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    Quote Originally Posted by tonio View Post
    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.
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