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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
    finish.jpg


    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

    Dick

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    (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?
     
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