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: Group theory

  1. Jan 19, 2008 #1
    [SOLVED] group theory

    1. The problem statement, all variables and given/known data
    My book says that Z_3 cross Z_4 is isomorphic to Z_12, which I am confused about because
    Z_3 cross Z_4 has four different generators and Z_12 only has 1.

    EDIT: wait that is not true, Z_12 has generators 1,5,7,11
    It is probably true in general that the number of generators of Z_n is equal to phi(n) where phi is the Euler phi function.
    2. Relevant equations

    3. The attempt at a solution
    Last edited: Jan 19, 2008
  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