Finite Permutation Groups
- 1st Edition - January 1, 1964
- Imprint: Academic Press
- Author: Helmut Wielandt
- Editors: Henry Booker, D. Allan Bromley, Nicholas DeClaris
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 4 8 4 5 - 5
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 5 8 2 9 - 4
Finite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteFinite Permutation Groups provides an introduction to the basic facts of both the theory of abstract finite groups and the theory of permutation groups. This book deals with older theorems on multiply transitive groups as well as on simply transitive groups. Organized into five chapters, this book begins with an overview of the fundamental concepts of notation and Frobenius group. This text then discusses the modifications of multiple transitivity and can be used to deduce an improved form of the classical theorem. Other chapters consider the concept of simply transitive permutation groups. This book discusses as well permutation groups in the framework of representation theory. The final chapter deals with Frobenius' theory of group characters. This book is a valuable resource for engineers, mathematicians, and research workers. Graduate students and readers who are interested in finite permutation groups will also find this book useful.
PrefaceChapter I Fundamental Concepts 1. Notation 2. The Transitive Constituents G△ 3. The Subgroups G△ 4. Regular and Semiregular Groups 5. Frobenius Groups 6. Blocks 7. Imprimitive Groups 8. Primitive GroupsChapter II Multiply Transitive Groups 9. Multiple Transitivity 10. Multiple Primitivity and Half-Transitivity 11. Regular Normal Subgroups of Multiply Transitive Groups 12. Nonregular Normal Subgroups of Multiply Transitive Groups 13. Primitive Groups with Transitive Subgroups of Smaller Degree 14. The Order of Primitive Groups 15. The Minimal Degree of Multiply Transitive GroupsChapter III The Transitive Constituents of Gα 16. Pairing of Constituents of Gα 17. The Degrees of the Transitive Constituents of Gα 18. The Structure of the Transitive Constituents of Gα in Primitive Groups G 19. Transitive ExtensionChapter IV The Method of Schur 20. Introduction of Group Elements as Points 21. Transitivity Modules 22. Computation in S-Modules 23. S-Rings 24. The Relationship between S-Rings and Permutation Groups 25. Burnside Groups 26. The Extension Group (H
- Edition: 1
- Published: January 1, 1964
- No. of pages (eBook): 124
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483248455
- eBook ISBN: 9781483258294
Read Finite Permutation Groups on ScienceDirect