The Classification of the Finite Simple Groups, Number 5

ISBN-13: 9780821827765 / Angielski / Twarda / 2002 / 467 str.

Daniel Gorenstein; Richard Lyons

Opis

The classification of finite simple groups is a landmark result of modern mathematics. The original proof is spread over scores of articles by dozens of researchers. This is the fifth in a multi-volume work in which the authors are assembling the proof with explanations and references. The book, along with background from sections of the previous volumes, presents critical aspects of the classification. In four prior volumes (Surveys of Mathematical Monographs, Volumes 40.1, 40.2, 40.3, and 40.4), the authors began the proof of the classification theorem by establishing certain uniqueness and preuniqueness results. In this volume, they begin the proof of a major theorem from the classification grid, namely Theorem ${mathcal C UL7$. The book is suitable for graduate students and researchers interested in group theory.