Applied Finite Group Actions

  • Adalbert┬áKerber

Part of the Algorithms and Combinatorics book series (AC, volume 19)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Adalbert Kerber
    Pages 1-20
  3. Adalbert Kerber
    Pages 21-52
  4. Adalbert Kerber
    Pages 53-84
  5. Adalbert Kerber
    Pages 85-120
  6. Adalbert Kerber
    Pages 121-140
  7. Adalbert Kerber
    Pages 141-168
  8. Adalbert Kerber
    Pages 169-212
  9. Adalbert Kerber
    Pages 213-274
  10. Adalbert Kerber
    Pages 275-316
  11. Adalbert Kerber
    Pages 317-352
  12. Adalbert Kerber
    Pages 353-396
  13. Adalbert Kerber
    Pages 397-428
  14. Adalbert Kerber
    Pages 429-436
  15. Back Matter
    Pages 437-454

About this book

Introduction

The topic of this book is finite group actions and their use in order to approach finite unlabeled structures by defining them as orbits of finite groups of sets. Well-known examples are graphs, linear codes, chemical isomers, spin configurations, isomorphism classes of combinatorial designs etc.
This second edition is an extended version and puts more emphasis on applications to the constructive theory of finite structures. Recent progress in this field, in particular in design and coding theory, is described.
This book will be of great use to researchers and graduate students.

Keywords

Darstellungen Graph Konstruktion Permutation Representation theory constructions erzeugende Funktionen generating functions group actions operierende Gruppen representations

Authors and affiliations

  • Adalbert┬áKerber
    • 1
  1. 1.Department of MathematicsUniversity of BayreuthBayreuthGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-11167-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08522-2
  • Online ISBN 978-3-662-11167-3
  • Series Print ISSN 0937-5511
  • About this book
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