Groups and Representations

  • J. L. Alperin
  • Rowen B. Bell

Part of the Graduate Texts in Mathematics book series (GTM, volume 162)

Table of contents

  1. Front Matter
    Pages i-x
  2. J. L. Alperin, Rowen B. Bell
    Pages 1-37
  3. J. L. Alperin, Rowen B. Bell
    Pages 39-62
  4. J. L. Alperin, Rowen B. Bell
    Pages 63-87
  5. J. L. Alperin, Rowen B. Bell
    Pages 89-105
  6. J. L. Alperin, Rowen B. Bell
    Pages 107-136
  7. J. L. Alperin, Rowen B. Bell
    Pages 137-177
  8. Back Matter
    Pages 179-196

About this book


The aim of this book is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. The book will enable graduate students from every mathematical field, as well as strong undergraduates with an interest in algebra, to solidify their knowledge of group theory. The reader should have a familiarity with groups, rings, and fields, along with a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to expose the reader to additional topics.


Group representation Group theory Mathematica addition algebra automorphism character table commutative property field group group action knowledge linear algebra presentation representation theory

Authors and affiliations

  • J. L. Alperin
    • 1
  • Rowen B. Bell
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94526-2
  • Online ISBN 978-1-4612-0799-3
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site