If G is a group, let H = [a G|ag = ga for all g

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If G is a group, let H = [a ∈ G|ag = ga for all g ∈ G}. Prove that H is a subgroup of G. (The subgroup H is called the center of G.)

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:06 AM

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If G is a group, let H = [a G|ag = ga for all g

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Since eg ge for all g G it follows that e H and H If x y H th...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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