1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

How to prove Cs is a subgroup of C3v?

  1. Dec 20, 2012 #1
    1. The problem statement, all variables and given/known data
    prove that Cs is a subgroup of C3v group


    2. Relevant equations



    3. The attempt at a solution
    There are only two elements in Cs group, E and C_sigma. C_sigma is plane reflection operator which does not seem to exist in C3v group. This leads to my question here.
     
  2. jcsd
  3. Dec 21, 2012 #2

    pasmith

    User Avatar
    Homework Helper

    Does C3v contain an element of order 2? If so it has a subgroup isomorphic to Cs.
     
  4. Dec 25, 2012 #3
    Thanks, this makes sense!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to prove Cs is a subgroup of C3v?
  1. Proving a subgroup (Replies: 4)

Loading...