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CHARACTER THEORY OF FINITE GROUPS I. MARTIN ISAACS AMS CHELSEA PUBLISHING American Mathematical Society Providence, Rhode Island

CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied

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Page 1: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied

CHARACTER THEORY OF FINITE GROUPS

I. MARTIN ISAACS

AMS CHELSEA PUBLISHINGAmerican Mathematical Society • Providence, Rhode Island

Page 2: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 3: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 4: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 5: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied

2000 Mathematics Subject Classification. Primary 20C15, 20C05, 20C20, 20C25.

Library of Congress Cataloging-in-Publication Data

Isaacs, I. Martin, 1940–Character theory of finite groups / I. Martin Isaacs.

p. cm.Originally published: New York : Academic Press, 1976, in series: Pure and applied mathe-

matics ; 69.Includes bibliographical references and index.ISBN-13: 978-0-8218-4229-4 (alk. paper)ISBN-10: 0-8218-4229-3 (alk. paper)1. Finite groups. 2. Characters of groups. I. Title.

QA177.I83 2006510—dc22 2006049869

c© 1976 held by the American Mathematical Society. All rights reserved.Reprinted by the American Mathematical Society, 2006, 2011.

Printed in the United States of America.

©∞ The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability.

Visit the AMS home page at http://www.ams.org/

10 9 8 7 6 5 4 3 2 16 15 14 13 12 11

Page 6: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 7: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 8: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 9: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 10: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 11: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 12: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 13: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 14: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 15: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 16: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 17: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 18: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 19: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 20: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 21: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 22: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 23: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 24: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 25: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 26: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 27: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 28: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 29: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 30: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied
Page 31: CHARACTER THEORY OF FINITE GROUPS...Character theory of finite groups / I. Martin Isaacs. p. cm. Originally published: New York : Academic Press, 1976, in series: Pure and applied