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## Finite Groups, Second Edition, Reprint (Hardback)"...it is required reading for anyone who wishes to study the subject." — Mathematical Reviews ## $33.15 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** The book is in excellent condition, showing only the slightest signs of use (namely, a small indentation along the edge of the back cover). The pages are clean and the binding is tight. It is printed on acid-free paper.

NOTE: There is no dust jacket, but based images of other editions, the book may never have had one.

## Description

From the ‘About this book’ section: “The theory of finite simple groups enjoyed a period of spectacular activity in the 1950s and 1960s. The first edition of Gorenstein’s book was published in 1968, at the time of some of the first major classification results. The second edition was published in 1980, when it was clear that the classification was understood and the proof was within reach. Gorenstein’s treatment of the subject proved prescient, as many of the developments between the two editions could be seen as continuations of the material in the book. Even now, the book remains one of the best sources for an introduction to finite groups and the classification of the simple groups. Gorenstein’s insight provides a guiding light through the many pages that have been dedicated to the proof.”

**BRIEF CONTENTS**

- Preface
- PART I: METHODS
- Chapter 1. Preliminaries
- Chapter 2. Some Basic Topics
- Chapter 3. Representations of Groups
- Chapter 4. Character Theory
- Chapter 5. Groups of Prime Power Order
- Chapter 6. Solvable and
*π*-Solvable Groups - Chapter 7. Fusion, Transfer, and
*p*-Factor Groups - Chapter 8.
*p*-Constrained and*p*-Stable Groups - Chapter 9. Groups of Even Order
- PART II: APPLICATIONS
- Chapter 10. Fixed-Point-Free Automorphisms
- Chapter 11. The Hall-Higman Theorem
- Chapter 12. Groups with Generalized Quaternion Sylow 2-Subgroups
- Chapter 13. Zassenhaus Groups
- Chapter 14. Groups in Which Centralizers Are Nilpotent
- Chapter 15. Groups with Self-Centralizing Sylow 2-Subgroups of Order 4
- PART III: GENERAL CLASSIFICATION PROBLEMS
- Chapter 16. Simple Groups of Low Rank
- Chapter 17. The Known Simple Groups
- Bibliography
- List of Symbols
- Index

## Details

- SKU:
- 1676
- Author:
- Gorenstein, Daniel
- Publisher:
- AMS Chelsea Publishing
- Publish Date:
- 2007 Reprint
- Format:
- Hardback
- Weight (pounds):
- 1.88
- Dimensions (W”xL”xH”):
- 6.2″x9.3″x1.5″
- ISBN-13:
- 9780821843420
- ISBN-10:
- 0821843427

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