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Verify that if H = (x, x) : x E lR}, then H is a subgroup of lR x lR (with + as the

Modern Algebra: An Introduction | 6th Edition | ISBN: 9780470384435 | Authors: John R. Durbin ISBN: 9780470384435 451

Solution for problem 16.7 Chapter 16

Modern Algebra: An Introduction | 6th Edition

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Modern Algebra: An Introduction | 6th Edition | ISBN: 9780470384435 | Authors: John R. Durbin

Modern Algebra: An Introduction | 6th Edition

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Problem 16.7

Verify that if H = (x, x) : x E lR}, then H is a subgroup of lR x lR (with + as the operationin each component). Describe the right cosets of H in lR x lR geometrically. (H is called thediagonal subgroup of lR x lR. See 15.28.)

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Chapter 16, Problem 16.7 is Solved
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Textbook: Modern Algebra: An Introduction
Edition: 6
Author: John R. Durbin
ISBN: 9780470384435

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Verify that if H = (x, x) : x E lR}, then H is a subgroup of lR x lR (with + as the