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9780486485928

Permutation Groups

by
  • ISBN13:

    9780486485928

  • ISBN10:

    0486485927

  • Edition: Revised
  • Format: Paperback
  • Copyright: 2012-03-14
  • Publisher: Dover Publications

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Supplemental Materials

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Summary

This volume by a prominent authority on the subject consists of lecture notes that provide a self-contained account of certain classification theorems in the field of permutation groups. The treatment includes thorough discussions of the work of Zassenhaus on Frobenius elements and sharply transitive groups as well as Huppert's findings on solvable doubly transitive groups. 1968 edition.

Author Biography

Donald S. Passman is the Richard Brauer Professor of Mathematics at the University of Wisconsin-Madison. His research interests include ring theory, group theory, group rings, and enveloping algebras of Lie algebras.

Table of Contents

Preface
Chapter I. Introduction
1. The Symmetric Group
2. Wreath Products
3. Multiple Transitivity
4. Normal Subgroups
5. Automorphism Groups
6. Subnormal Subgroups
7. Groups of Prime Degree
8. Frobenius Groups
Chapter II. Machinery
9. Nilpotent Groups
10. Group Extensions
11. Solvable Groups
12. Transfer Theorems
13. Normal p-Compliments
14. The Thompson Subgroup
15. Group Representations
16. Group Characters
Chapter III.
17. Frobenius Kernels
18. Frobenius Complements
19. Solvable Doubly Transitive Groups
20. Sharp Transitivity
21. The Mathieu Group
References
Index 

Supplemental Materials

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