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Homework Help: Permutations abstract algebra

  1. Mar 4, 2009 #1
    1. The problem statement, all variables and given/known data

    Compute the expression shown for the permutations
    1.[tex]\left|<\phi>\right|[/tex]
    2..[tex]\left|<\tau^2>\right|[/tex]
    3.[tex]\phi^{100}[/tex]
    where:
    [tex]\phi[/tex]= top row:1, 2 , 3 ,4 , 5 ,6
    bottom row: 3,1, 4,5,6,2

    [tex]\tau[/tex] = top row: 1,2,3,4,5,6
    bottom row: 2,4,1,3,6,5

    2. Relevant equations



    3. The attempt at a solution
    Ok, my main problem is that I don't even know what they're asking. I understand how to do permutation multiplication and composition, but not this.
    I do know from the back of the book that #2 is 2, but I want to know why this is true.
     
  2. jcsd
  3. Mar 4, 2009 #2
    Does it just mean finding the identity?
     
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