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An element a of a group G has order n E z+ if and only if a" = e.

An element a of a group G has order n E z+ if and only if a" = e.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 18E: Let a and b be elements of a group G. Prove that G is abelian if and only if (ab)2=a2b2.
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An element a of a group G has order n E z+ if and only if a" = e.
Transcribed Image Text:An element a of a group G has order n E z+ if and only if a" = e.
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