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Groups and Representations

  • Textbook
  • © 1995

Overview

Authors:
  1. J. L. Alperin

    1. Department of Mathematics, University of Chicago, Chicago, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Rowen B. Bell

    1. Department of Mathematics, University of Chicago, Chicago, USA

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Rudiments of Group Theory

    • J. L. Alperin, Rowen B. Bell
    Pages 1-37

  3. The General Linear Group

    • J. L. Alperin, Rowen B. Bell
    Pages 39-62

  4. Local Structure

    • J. L. Alperin, Rowen B. Bell
    Pages 63-87

  5. Normal Structure

    • J. L. Alperin, Rowen B. Bell
    Pages 89-105

  6. Semisimple Algebras

    • J. L. Alperin, Rowen B. Bell
    Pages 107-136

  7. Group Representations

    • J. L. Alperin, Rowen B. Bell
    Pages 137-177

  8. Back Matter

    Pages 179-196
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Keywords

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.

Authors and Affiliations

  • Department of Mathematics, University of Chicago, Chicago, USA

    J. L. Alperin, Rowen B. Bell

Bibliographic Information

  • Book Title: Groups and Representations

  • Authors: J. L. Alperin, Rowen B. Bell

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0799-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-94525-5Published: 11 September 1995

  • Softcover ISBN: 978-0-387-94526-2Published: 11 September 1995

  • eBook ISBN: 978-1-4612-0799-3Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: X, 196

  • Topics: Group Theory and Generalizations

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