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Homework Help: Past exam paper help.

  1. Aug 27, 2009 #1
    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)

    I know how to do in 2 row permutations, with right to - left. can any one tell me , how to express it without transfer it into 2 row permutations.

    2 disjoint product. eg. (123)(234) calculate from right to left. how ?

    I know transfer it into 2 row permutations, (1-2,2-3,3-1,4-4)* (1-1,2-3,3-4,4-2)

    Thank you. I am doing my past exam paper, university doesn't give us answer.
  2. jcsd
  3. Aug 27, 2009 #2


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    Welcome to PF!

    Hi Charles007! Welcome to PF! :wink:
    The right one sends 2 to 3, then left one sends 3 to 1, so both together send 2 to 1.

    Then do the same, starting with 3, and again starting with 4, and again starting with 1. :smile:

    (I've done them in the order 2,3,4,1, but any order would do)
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