Permutation Groups
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.
1100640514
Permutation Groups
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.
19.95 In Stock
Permutation Groups

Permutation Groups

by Donald S. Passman
Permutation Groups

Permutation Groups

by Donald S. Passman

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$19.95 

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Overview

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.

Product Details

ISBN-13: 9780486310916
Publisher: Dover Publications
Publication date: 10/03/2013
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 160
File size: 10 MB

About the Author

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

PrefaceChapter I. Introduction1. The Symmetric Group2. Wreath Products3. Multiple Transitivity4. Normal Subgroups5. Automorphism Groups6. Subnormal Subgroups7. Groups of Prime Degree8. Frobenius GroupsChapter II. Machinery9. Nilpotent Groups10. Group Extensions11. Solvable Groups12. Transfer Theorems13. Normal p-Compliments14. The Thompson Subgroup15. Group Representations16. Group CharactersChapter III.17. Frobenius Kernels18. Frobenius Complements19. Solvable Doubly Transitive Groups20. Sharp Transitivity21. The Mathieu GroupReferencesIndex
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