Let G be a group and a e G such that o(a) = n < oo. Show that a = a' if and only if k =l mod n. %3D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 18E: Let G be a group of finite order n. Prove that an=e for all a in G.
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Let G be a group and a e G such that o(a) =n < oo. Show that a = a' if and
only if k =l mod n.
Transcribed Image Text:Let G be a group and a e G such that o(a) =n < oo. Show that a = a' if and only if k =l mod n.
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