A First Course in Abstract Algebra 7e - Fraleigh.pdf
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A First Course in Abstract Algebra
John B. Fraleigh
Seventh Edition
Pearson Education Limited
Edinburgh Gate
Harlow
Essex CM20 2JE
England and Associated Companies throughout the world
Visit us on the World Wide Web at:
www.pearsoned.co.uk
© Pearson Education Limited 2014
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without either the
prior written permission of the publisher or a licence permitting restricted copying in the United Kingdom
issued by the Copyright Licensing Agency Ltd, Saffron House, 6–10 Kirby Street, London EC1N 8TS.
All trademarks used herein are the property of their respective owners. The use of any trademark
in this text does not vest in the author or publisher any trademark ownership rights in such
trademarks, nor does the use of such trademarks imply any affiliation with or endorsement of this
book by such owners.
ISBN 10: 1-292-02496-8
ISBN 13: 978-1-292-02496-7
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
Printed in the United States of America
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Table of Contents
Chapter 0. Sets and Relations
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Chapter 1. Groups and Subgroups
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Chapter 2. Permutations, Cosets, and Direct Products
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Chapter 3. Homomorphisms and Factor Groups
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Chapter 4. Rings and Fields
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Chapter 5. Ideals and Factor Rings
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Chapter 6. Ectension Fields
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Chapter 7. Advanced Group Theory
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Chapter 9. Factorization
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Chapter 10. Automorphisms and Galois Theory
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Appendix: Matrix Algebra
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Notations
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Index
1
11
75
125
167
237
265
307
355
381
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453
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