This volume by a prominent authority on permutation groups consists of lecture notes that provide a self-contained account of distinct classification theorems. A ready source of frequently quoted but usually inaccessible theorems, it is ideally suited for professional group theorists as well as students with a solid background in modern algebra.
The three-part treatment begins with an introductory chapter and advances to an economical development of the tools of basic group theory, including group extensions, transfer theorems, and group representations and characters. The final chapter features thorough discussions of the work of Zassenhaus on Frobenius elements and sharply transitive groups in addition to an exploration of Huppert's findings on solvable doubly transitive groups.
By:
Donald Passman, Mathematics Imprint: Dover Country of Publication: United States Dimensions:
Height: 215mm,
Width: 135mm,
Spine: 8mm
Weight: 178g ISBN:9780486485928 ISBN 10: 0486485927 Series:Dover Books on Mathema 1.4tics Pages: 160 Publication Date:14 March 2012 Audience:
General/trade
,
ELT Advanced
Format:Paperback Publisher's Status: Unspecified
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
