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Math Help - cycle decomposition 20

  1. #1
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    cycle decomposition 20

    If f,g are distinct transpositions, show that fg is of order 2 or 3.
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  2. #2
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    Quote Originally Posted by mpryal View Post
    If f,g are distinct transpositions, show that fg is of order 2 or 3.
    Basically the solution is here.

    Show your work if you want to know if you got is correct or not.
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