Which of the following is not an automorphism? *Ø: (R*,.) (R*,.) with Ø(x) = VxØ: (R*,.) (R, +) with 0(x) = In xThis OptionThis OptionØ: (Z, +) - (Z, +) with 0(x) = 3xNone of the choicesThis Option

Answered: Image /qna-images/answer/d25d8966-9c66-4701-b9c2-fb32ede675b6.jpg

Which of the following is not an automorphism? * Ø: (R*,.) (R*,.) with 0(x) = Vx 0: (R*,.) (R +) with (x) Inx %3D This Option This Option 0: (Z, +) (Z, +) with 0(x) = 3x O None of the choices O This Option

Which of the following is not an automorphism? * Ø: (R,.) (R,.) with 0(x) = Vx 0: (R*,.) (R +) with (x) Inx %3D This Option This Option 0: (Z, +) (Z, +) with 0(x) = 3x O None of the choices O This Option

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.8: Some Results On Finite Abelian Groups (optional)

Problem 2E

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Question

Which of the following is not an automorphism? *
Ø: (R*,.) (R*,.) with Ø(x) = Vx
Ø: (R*,.) (R, +) with 0(x) = In x
This Option
This Option
Ø: (Z, +) - (Z, +) with 0(x) = 3x
None of the choices
This Option

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