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

  • Thread starter jdinatale
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  • #1
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Homework Statement


finish.jpg



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?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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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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