Suppose that f:G → G such that f(x)= axa. Then f is a group homomorphism ifand only ifa = ea^4 = e%3Da^2 = ea^3 = e

Name: Suppose that f:G → G such that f(x)= axa. Then f is a group homomorph
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Description: Suppose that f:G → G such that f(x)= axa. Then f is a group homomorphism ifand only ifa = ea^4 = e%3Da^2 = ea^3 = e

suppose that f:g->g such that f(x)=axa then f is a group homomorphism if and only if a. a = e b.…

Answered: and only if a = e O a^4 = e a^2 = e O O

Math

Algebra

and only if a = e O a^4 = e a^2 = e O O

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 25E: 25. Prove or disprove that every group of order is abelian.

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Question

Suppose that f:G → G such that f(x)
= axa. Then f is a group homomorphism if
and only if
a = e
a^4 = e
%3D
a^2 = e
a^3 = e

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