1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook