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Homework Help: Expressing as Product of Disjoint Cycles

  1. Feb 28, 2008 #1
    1. The problem statement, all variables and given/known data

    Express as the product of disjoint cycles:
    a. (1,2,3)(4,5)(1,6,7,8,9)(1,5)
    b. (1,2)(1,2,3)(1,2)

    3. The attempt at a solution

    a. (1, 2, 3) ( 4, 5, 6, 7, 8, 9)
    b. (1, 2, 3)

    These are the answers I got directly through the product. Would anybody be willing to check those answers? Thank you!
  2. jcsd
  3. Feb 28, 2008 #2
    Sorry. I looked at it again. Here's my second attempt at a solution:

    a. (1,4,5,6,7,8,9,2,3)
    b. (1,3,2)
  4. Feb 28, 2008 #3


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    It looks fine to me, if you are applying the permutations from right to left.
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