The Classification of the Finite Simple Groups, Volume 1

Daniel Gorenstein; Richard Lyons; Ronald Solomon

ISBN 10: 0821803344 / ISBN 13: 9780821803349

Published by American Mathematical Society, Providence, R.I., 1994

About this Item

A few light external scuffs and nicks. All pages free from notes or highlighting. Ownership inscription on first inside page. A presentable used copy with no major defects. Size: 26 x 18 x 1 cm. 165 pp. Shipped Weight: Under 1 kilo. Category: Mathematics; Finite simple groups; Lyons, Richard, 1945 - ; Solomon, Ronald; Series: Mathematical surveys and monographs; no. 40, pt.1-; ISBN: 0821803344. ISBN/EAN: 9780821803349. Add. Inventory No: 250125QNSY0505119.

Seller Inventory # 250125QNSY0505119

Bibliographic Details

• Title: The Classification of the Finite Simple Groups, Volume 1
• Publisher: American Mathematical Society, Providence, R.I.
• Publication Date: 1994
• Language: English
• ISBN 10: 0821803344
• ISBN 13: 9780821803349
• Binding: Hardcover
• Condition: Good
• Seller catalogs:
  • Mathematics

About this title

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.