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Representing products as disjoint cycles

  1. Feb 24, 2009 #1
    1. The problem statement, all variables and given/known data

    Represent the following products as products of disjoint cycle. find the order of each product.

    2. Relevant equations

    a) (1234)(567)(261)(47)
    b) (12345)(67)(1357)(163)
    c) (14)(123)(45)(14)

    3. The attempt at a solution

    I've only attempted a) because I'm not sure if I'm doing it right. Here's what I got:

    a) (163742)(5164)

    because,
    1->2, 2->6
    2->3 so no need to include it
    3->4, 4->7
    4->1, 1->2
    5->6, 6->1
    6->7, 7->4
    Is this even close?
     
  2. jcsd
  3. Feb 25, 2009 #2

    lanedance

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    Homework Helper

    Re: Permutations

    (1234) on the set should look like
    |1-2-3-4|
    |2-1-3-4| position 1->2
    |2-3-1-4| position 2->3
    |2-3-4-1| position 3->4

    so (1234) is the permutation
    |1-2-3-4|
    |2-3-4-1|
     
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