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

Composition of permutation cycles

  1. Jul 30, 2011 #1
    I'm studying the [itex]S_n[/itex] groups and I've been calculating a bunch of compositions of m-cycles. I haven't, however, been able to find a general pattern in how to do this for arbitrarily complicated cycles. Are there any general composition rules or is there no other way to find the compositions besides applying each cycle one by one and looking at the end result?
     
  2. jcsd
  3. Aug 5, 2011 #2

    Stephen Tashi

    User Avatar
    Science Advisor

    You should state clearly what you mean by "calculating a bunch of compositions of m-cycles".

    Are you asking how to multiply products of cyclic permutations?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook