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

Right coset and orbits

  1. Oct 13, 2009 #1
    I'm just wondering if there is some sort of relationship between right coset and orbit of x. We just got to cosets, and it seems like the properties of cosets are eerily similar to orbits.
     
  2. jcsd
  3. Oct 16, 2009 #2

    whs

    User Avatar

    Of course their is a relationship.

    First of all, I think you answered your own question.

    Second, a random book I picked up had a section on cosets right after the section on orbits and cyclic groups.

    Q.E.D.
     
  4. Oct 17, 2009 #3

    whs

    User Avatar

    I'd like to note, you specifically mentioned the right coset and orbit of 'x'. Be careful if you choose a different variable, say, 'z'.

    Z has mystical properties that defy abstract algebra.
     
  5. Oct 17, 2009 #4

    Fredrik

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You might be interested in theorem 3 on page 4 of this article.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Right coset and orbits
  1. Cosets and subspaces (Replies: 3)

  2. Cosets / Partitions (Replies: 4)

Loading...