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How to do this permutation?

  1. Nov 18, 2009 #1
    1. The problem statement, all variables and given/known data

    (1 2) (1 4 5) (2 3 4) (2 5)= (1 4) (3 5)

    2. Relevant equations



    3. The attempt at a solution

    Can someone explain to me how to do this permutation? I know it's the easiest thing to do but i just went blank! how did my professor get (1 4) (3 5)?
     
  2. jcsd
  3. Nov 18, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    Re: permutations

    start by writing out each step explicitly

    eg for the permutation p = (25) you have
    p(1) = 1
    p(2) = 5
    p(3) = 3
    p(4) = 4
    p(5) = 2

    so this gives p as the following map
    1 2 3 4 5
    1 5 3 4 2

    then similar for the next permutations, then either stack the maps or cualcte where each element ends up to get the effect of composition of several permutations and you should be able to read off the final result
     
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