(a) If H, K are subgroups of a group G, prove that H K is also...

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(a) If H, K are subgroups of a group G, prove that H ∩ K is also a subgroup of G.
(b) Give an example of a group G with subgroups H, K such that H ∪ K is not a subgroup 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 09:07 AM

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(a) If H, K are subgroups of a group G, prove that H K is also...

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a Since e H and e K we have e H K and H K Now let x y ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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