The Theory of Finite Groups

An Introduction

  • Hans Kurzweil
  • Bernd Stellmacher

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Hans Kurzweil, Bernd Stellmacher
    Pages 1-42
  3. Hans Kurzweil, Bernd Stellmacher
    Pages 43-54
  4. Hans Kurzweil, Bernd Stellmacher
    Pages 55-76
  5. Hans Kurzweil, Bernd Stellmacher
    Pages 77-97
  6. Hans Kurzweil, Bernd Stellmacher
    Pages 99-119
  7. Hans Kurzweil, Bernd Stellmacher
    Pages 121-161
  8. Hans Kurzweil, Bernd Stellmacher
    Pages 163-173
  9. Hans Kurzweil, Bernd Stellmacher
    Pages 175-223
  10. Hans Kurzweil, Bernd Stellmacher
    Pages 225-259
  11. Hans Kurzweil, Bernd Stellmacher
    Pages 261-301
  12. Hans Kurzweil, Bernd Stellmacher
    Pages 303-333
  13. Hans Kurzweil, Bernd Stellmacher
    Pages 335-368
  14. Back Matter
    Pages 369-388

About this book

Introduction

 From reviews of the German Edition:

"This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions. One who completes this text not only gains an appreciation of both the depth and the breadth of the theory of finite groups, but also witnesses the evolutionary development of concepts that form a basis for current investigations. This is accomplished by providing a thread that permits a natural flow from one concept to another rather than compartmentalizing. Operators on sets and groups are introduced early and used effectively throughout. The bibliography provides excellent supplemental support."

H. Bechtell, Mathematical Reviews

"Altogether, we have a well written book, which gives an introduction into the field and furthermore shows us one of the most active recent areas of research. This is the first book which shows us the amalgam method and moreover shows us how it works. Maybe it can get the same influence on group theory today as Gorenstein's famous book got in the late sixtees and seventees. This book should be in any library."

G. Stroth, Zentralblatt

Keywords

Abelian group Permutation finite group representation theory

Authors and affiliations

  • Hans Kurzweil
    • 1
  • Bernd Stellmacher
    • 2
  1. 1.Institute of MathematicsUniversity of Erlangen-NuremburgErlangenGermany
  2. 2.Mathematiches Seminar KielChristian-Albrechts-UniversitätKielGermany

Bibliographic information

  • DOI https://doi.org/10.1007/b97433
  • Copyright Information Springer-Verlag New York 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2340-0
  • Online ISBN 978-0-387-21768-0
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book