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!

Homework Help: Isomorphism question

  1. May 31, 2010 #1
    1. The problem statement, all variables and given/known data

    Prove that Z2+Dn and D2n are not isomorphic whenever n is even by using structural characteristics that demonstrate Z2+Dn and D2n cannot be isomorphic.

    2. Relevant equations

    3. The attempt at a solution
    We know that D2n has 2n+1 order 2 elements, since n is even we know that Dn has n+1 elements of order 2. Thus Z2+Dn has 2(n+1)= 2n+2 order 2 elements. Thus Z2+Dn and D2n are not isomorphic whenever n is even. Is this all I need for this question?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted