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This long-awaited revision provides a concise introduction to topics in abstract algebra, taking full account of the major advances and developments that have occurred over the last half-century in the theoretical and conceptual aspects of the discipline, particularly in the areas of groups and fields. Key features include: A new section on binary linear codes New chapter on Automorphisms and Galois Theory 450 fully solved problems and 420 supplementary problems for individual practice More than 175 illustrative examples
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Theory and Problems of ABSTRACT ALGEBRA This page intentionally left blank. Theory and Problems of ABSTRACT ALGEBRA Second Edition FRANK AYRES, Jr., Ph.D. LLOYD R. JAISINGH Professor of Mathematics Morehead State University Schaum’s Outline Series McGRAW-HILL New York Chicago San Fransisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright © 2004 1965 by McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-143098-9 The material in this eBook also appears in the print version of this title: 0-07-140327-2. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as pre