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Math Help - Abelian Group

  1. #1
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    Abelian Group

    Prove that if G is a group with the property that the square of every element is the identity, then G is Abelian.

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  2. #2
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    The hypothesis implies that (ab)(ab) = e. Hence, ab = b^{-1}a^{-1}. SInce b^{-1}=b and a^{-1}=a, we're done.
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