The Classification of the Finite Simple Groups

Daniel Gorenstein/ Richard Lyons/ Ronald Solomon

ISBN 10: 0821809601 / ISBN 13: 9780821809600

Published by Amer Mathematical Society, 2000

reprint edition. 165 pages. 9.75x7.00x0.50 inches. In Stock. Seller Inventory # 0821809601

Synopsis:

The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.

About the Author: Daniel Gorenstein and Richard N. Lyons, Rutgers University.

Ronald M Solomon, Ohio State University.

Bibliographic Details

Title: The Classification of the Finite Simple ...
Publisher: Amer Mathematical Society
Publication Date: 2000
Binding: Paperback
Condition: Brand New