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: On the edge of completing this proof about the order of an element

  1. Oct 24, 2011 #1
    1. The problem statement, all variables and given/known data

    3. The attempt at a solution

    Based on my attempt above, I have demonstrated that the order is less than or equal to n. I am certain that it is actually n, but I'm not sure which theorem I can grab finish this thing off. Any tips for pointing me in the right direction?
  2. jcsd
  3. Oct 24, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper

    (bab^(-1))^m is equal to b*a^m*b^(-1) for any m. You've shown that. If that's equal to e for m<n, then was the order of a really n?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook