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Representations of Groups


  • 10 b/w illus. 220 exercises
  • Page extent: 472 pages
  • Size: 228 x 152 mm
  • Weight: 0.78 kg

Library of Congress

  • Dewey number: 512/.22
  • Dewey version: 22
  • LC Classification: QA176 .L89 2010
  • LC Subject headings:
    • Representations of groups--Data processing

Library of Congress Record


 (ISBN-13: 9780521768078)

The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from and readers can download source code and solutions to selected exercises from the book's web page.

• Gives hands-on experience with representation theory • Uses the computer algebra systems GAP, which is freely available for download • Source code, errata and solutions to selected exercises are available online


Preface; Frequently used symbols; 1. Representations and modules; 2. Characters; 3. Groups and subgroups; 4. Modular representations; List of notation; Bibliography; Index.


'Representations of Groups: A Computational Approach, by Lux and Pahlings, is a well-constructed, dense, and, its introductory nature notwithstanding, pretty far-reaching text. Happily, it is also quite accessible.' MAA Reviews

'Where the authors' treatment differs most from others is in the prominence given to calculation of real examples … I enjoyed reading this book, and recommend it as a good modern second course in representation theory. The choice of topics and their arrangement are interest [and] clearly well thought out.' Bulletin of the London Mathematical Society

'The book is well-written and many graduate students can benefit from the book to enhance their research work.' Zentralblatt MATH

'… a wonderful, nice and significant book, which is so well written … recommended to a wide range of mathematicians …' Mathematical Reviews

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