Answered: let G be a group, a,b E G such that…

let G be a group, a,b E G such that bab^-1 =a^r , for some r E N, where N are the natural ones, prove that b^j ab^-j =a^(r^j), for each j E N

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 11E: Find all homomorphic images of the quaternion group.

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let G be a group, a,b E G such that bab^-1 =a^r , for some r E N, where N are the natural ones, prove that b^j ab^-j =a^(r^j), for each j E N

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