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Unformatted text preview: H , the other right coset is G \ H . Thus the left and right cosets are the same. Fraleigh 10.40: Let k be the order of a , which is also the order of the cyclic subgroup generated by a . By Lagranges theorem, k divides n , so we can write n = kd where d is an integer. Then a n = a kd = ( a k ) d = e d = e ....
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This note was uploaded on 01/19/2010 for the course MATH 113 taught by Professor Ogus during the Fall '08 term at University of California, Berkeley.
 Fall '08
 OGUS
 Math, Sets

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