Permutation Groups

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.

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.

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