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Math Help - Order of premutation

  1. #1
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    Red face Order of premutation

    Compute the orders of products of non-disjoint cycles:

    (1 2 3)(3 2 4)


    (1 2 3)(3 4 5)



    I calcuated for a couple of times but still couldn't get the right answers.
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  2. #2
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    Quote Originally Posted by r7iris View Post
    Compute the orders of products of non-disjoint cycles:

    (1 2 3)(3 2 4)


    (1 2 3)(3 4 5)



    I calcuated for a couple of times but still couldn't get the right answers.
    What is the permutation group you are working in? Is it S_5?
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  3. #3
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    They are two separate questions.
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    (Grumbles) I never was good with cyclic notation.

    -Dan
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  5. #5
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    Just write it as a premutation,

    \tau = \left( \begin{array}{cccc}1&2&3&4 \\ 2&4&3&1 \end{array} \right)

    Now find \tau , \tau^2 , ...
    Until you find,
    \tau^n = \left( \begin{array}{cccc}1&2&3&4 \\ 1&2&3&4 \end{array} \right)
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