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Homework Help: Permutations in S5

  1. Dec 13, 2009 #1
    1. The problem statement, all variables and given/known data

    can cycles a and b create cycle d?
    let cycle a = 123
    cycle b=12345
    cycle d = 12

    i.e. can some combination of a and b = d

    2. Relevant equations

    only working in S5

    3. The attempt at a solution

    I have tried various different permutations, 23 over all, things like aba, ab(a^-1), bab, (b^2)a(b^2)
    things like this. I am not sure if a solution exists but I have been trying differnt guesses for hours. I don't want to try 120 times to get it.
  2. jcsd
  3. Dec 13, 2009 #2


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    Science Advisor
    Homework Helper

    Do you know what odd and even permutations are?
  4. Dec 13, 2009 #3


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    Science Advisor

    Good hint!
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