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Homework Help: Groups whose elements have order 2

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data

    suppose that G is a group in which every non-identity element has order two. show that G is commutative.

    2. Relevant equations

    3. The attempt at a solution

  2. jcsd
  3. Oct 20, 2009 #2


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    Homework Helper

    yeah looks good (same as last post), if you want to include every step
    ab = (ae)b = aeb = a (abab) b = (aa) ba (bb) = ebae = ba
    does assume the multiplication is associative
  4. Oct 20, 2009 #3


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    Will you please stop posting the same question over and over again?
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