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Math Help - Did I do this right? A Permutation Problem.

  1. #1
    Junior Member ginafara's Avatar
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    Did I do this right? A Permutation Problem.

    I seem to be challenged on the product of two cycles.

    The problem I have is (12)(132) the when I do the multiplication I get (13) IS THIS CORRECT?



    Thanks
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  2. #2
    Member
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    Quote Originally Posted by ginafara View Post
    I seem to be challenged on the product of two cycles.

    The problem I have is (12)(132) the when I do the multiplication I get (13) IS THIS CORRECT?



    Thanks
    Yes, that's right.

    Call (1 2) = A and (1 3 2) = B

    AB(1) = A(3) = 3
    AB(3) = A(2) = 1.
    (so there is cycle (1 3) in the product).
    Finally AB(2) = A(1) = 2, so 2 is fixed by the product and doesn't need to be written.

    So the answer is (1 3), like you got.
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