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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 39E

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Question

Suppose c is a
с
class in a
・conjugacy.
group a such that IC i
finite but | c/#1. Then there exists an element of in G that does
g
not commute with
element
of
& C. Show that hypothesis
any
finiteness of IC | is necessary for this.

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