1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

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

Similar Threads - Order permutation Date
2nd order non-linear pde Yesterday at 7:31 AM
Abstract Algebra Order of Permutation Nov 3, 2012
Permutations - determine order of S_n Feb 7, 2010
Permutation orders Jan 18, 2009
The order of a permutation cycle Sep 8, 2007