Permutation Groups - Brossura

Passman, Donald S.

Brossura

ISBN 10: 0486485927 ISBN 13: 9780486485928

Casa editrice: Dover Pubns, 2012

Riassunto

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.

Su questo libro

L'autore:

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.

Contenuti:

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

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2012
• ISBN 10: 0486485927
• ISBN 13: 9780486485928
• Rilegatura: Copertina flessibile
• Numero di pagine: 152