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Permutation - Missing Images

  1. Jul 28, 2014 #1
    1. The problem statement, all variables and given/known data
    Hi, I have been MIA lately due to work, but I am back with questions, and eager to learn! I am self studying, and so I have inconsistencies in my learning which I hope to iron out.

    Suppose you are told that the permutation
    ( 1 2 3 4 5 6 7 8 9
    3 1 2 X Y 7 8 9 6)

    In S9 the symmetric group, where the images of 5 and 4 have been lost, is an even permutation. What must the images of 5 and 4 be?


    2. Relevant equations



    3. The attempt at a solution
    I thought X should be 5, and Y should be 4, so that you have 6 transpositions or am I oversimplifying the logic here?
    Thank you.
     
  2. jcsd
  3. Jul 28, 2014 #2

    Fredrik

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    Staff Emeritus
    Science Advisor
    Gold Member

    Looks good to me.
     
  4. Jul 28, 2014 #3
    Thank you.
     
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