7. Let G be a group and for elements a, b e G define aRb if and only if there exists an element x E G such that a = xbx-1. Show that R is an equivalence relation on G.
7. Let G be a group and for elements a, b e G define aRb if and only if there exists an element x E G such that a = xbx-1. Show that R is an equivalence relation on G.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.4: Cyclic Groups
Problem 30E
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