Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook