The Classification of the Finite Simple Groups, Part III, Chapters 7 11: The Generic Case, Stages 3b and 4a

Gorenstein, Daniel/ Lyons, Richard/ Solomon, Ronald

ISBN 10: 082184069X / ISBN 13: 9780821840696

Published by Amer Mathematical Society, 2018

About this Item

344 pages. 10.00x7.00x1.00 inches. In Stock.

Seller Inventory # __082184069X

Bibliographic Details

• Title: The Classification of the Finite Simple Groups, Part III, Chapters 7 11: The Generic Case, Stages 3b and 4a
• Publisher: Amer Mathematical Society
• Publication Date: 2018
• Language: English
• ISBN 10: 082184069X
• ISBN 13: 9780821840696
• Binding: Hardcover
• Condition: Brand New
• Weight: 0.79 kilograms

About this title

Synopsis

The classification of finite simple groups is a landmark result of modern mathematics. The multipart series of monographs which is being published by the AMS (Volume 40.1-40.7 and future volumes) represents the culmination of a century-long project involving the efforts of scores of mathematicians published in hundreds of journal articles, books, and doctoral theses, totaling an estimated 15,000 pages. This part 7 of the series is the middle of a trilogy (Volume 40.5, Volume 40.7, and forthcoming Volume 40.8) treating the Generic Case, i.e., the identification of the alternating groups of degree at least 13 and most of the finite simple groups of Lie type and Lie rank at least 4. Moreover, Volumes 40.4-40.8 of this series will provide a complete treatment of the simple groups of odd type, i.e., the alternating groups (with two exceptions) and the groups of Lie type defined over a finite field of odd order, as well as some of the sporadic simple groups. In particular, this volume completes the construction, begun in Volume 40.5, of a collection of neighboring centralizers of a particularly nice form. All of this is then applied to complete the identification of the alternating groups of degree at least 13.The book is suitable for graduate students and researchers interested in the theory of finite groups.

About the Author

Daniel Gorenstein and Richard Lyons, Rutgers University, Piscataway, NY.Ronald Solomon, The Ohio State University, Columbus, OH.