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This is abstract algebra: Prove that if "a" is the only elemnt of order 2 in a group, then "a" lies in the center of the group.

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 19E: Use mathematical induction to prove that if a is an element of a group G, then (a1)n=(an)1 for every...

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This is abstract algebra:

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