The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Volume 172)

Michael Aschbacher

ISBN 10: 0821853368 / ISBN 13: 9780821853368

Published by American Mathematical Society, 2011

About this Item

Volume 172. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9780821853368.

Seller Inventory # 8996129

Bibliographic Details

• Title: The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Volume 172)
• Publisher: American Mathematical Society
• Publication Date: 2011
• Language: English
• ISBN 10: 0821853368
• ISBN 13: 9780821853368
• Binding: Hardcover
• Condition: Good
• Seller catalogs:
  • Mathematics

About this title

Synopsis

The book provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the "even case", where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of "noncharacteristic 2 type". However, this book provides much more. Chapter 0 is a modern overview of the logical structure of the entire classification. Chapter 1 is a concise but complete outline of the "odd case" with updated references, while Chapter 2 sets the stage for the remainder of the book with a similar outline of the "even case". The remaining six chapters describe in detail the fundamental results whose union completes the proof of the classification theorem. Several important subsidiary results are also discussed. In addition, there is a comprehensive listing of the large number of papers referenced from the literature. Appendices provide a brief but valuable modern introduction to many key ideas and techniques of the proof. Some improved arguments are developed, along with indications of new approaches to the entire classification--such as the second and third generation projects--although there is no attempt to cover them comprehensively. The work should appeal to a broad range of mathematicians--from those who just want an overview of the main ideas of the classification, to those who want a reader's guide to help navigate some of the major papers, and to those who may wish to improve the existing proofs.

About the Author

Michael Aschbacher, California Institute of Technology, Pasadena, CA||Richard Lyons, Rutgers University, Piscataway, NJ|Stephen D. Smith, University of Illinois at Chicago, IL|Ronald Solomon, The Ohio State University, Columbus, O