Answered: Help: Let G and G' be groups with…

Help: Let G and G' be groups with identity elements e and e' respectively and let f:G goes to G' be a homomorphism. Then, For every a an element of G, f(a-1)=f(a)-1

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 23E: 23. Let be a group that has even order. Prove that there exists at least one element such that and...

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Let G and G^' be groups with identity elements e and e^' respectively and let f:G goes to G^' be a homomorphism. Then,
For every a an element of G, f(a^-1)=f(a)^-1

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