Answered: Let a be a group element such that |a|…

Let a be a group element such that |a| = 48. For each part, find adivisor k of 48 such thata. <a21> = <ak>;b. <a14> = <ak>;c. <a18> = <ak>.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.1: Definition Of A Group

Problem 45E: 45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )

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Question

Let a be a group element such that |a| = 48. For each part, find a
divisor k of 48 such that
a. <a²¹> = <a^k>;
b. <a¹⁴> = <a^k>;
c. <a¹⁸> = <a^k>.

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