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Homework Help: Order of a permutation

  1. Apr 10, 2010 #1
    I'm a bit confused about something. Does the parity of a permutation (i.e. if it is even or odd) tell you if the order of the permutation is even or odd, or are they unrelated?

    Any insight would be appreciated.

    W. =)
  2. jcsd
  3. Apr 10, 2010 #2


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    What are you calling the order of a permutation? The order of the cycle length? If so, then yes, they are related. A two cycle is odd. A three cycle is even. Etc.
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