Q;: A. Let G be a group. Show that G is abelain iff the mapping f:G→G defined by f(x)=x',VxeG is an automorphism.

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Answered: Q;: A. Let G be a group. Show that G is…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 28EQ

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Q;: A. Let G be a group. Show that G is abelain iff the mapping f:G→G defined by f(x)=x", VxeG is an automorphism.