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 Lagrange’s 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 ....
View
Full Document
 Fall '08
 OGUS
 Math, Sets, Subgroup, Cyclic group, Coset, right cosets, Fraleigh

Click to edit the document details