The Classification of the Finite Simple Groups, Number 9

Daniel Gorenstein, Inna Capdeboscq, Ronald Solomon, Richard Lyons

ISBN 10: 1470464373 / ISBN 13: 9781470464370

Published by American Mathematical Society, US, 2021

About this Item

This book is the ninth volume in a series whose goal is to furnish a careful and largely self-contained proof of the classification theorem for the finite simple groups. Having completed the classification of the simple groups of odd type as well as the classification of the simple groups of generic even type (modulo uniqueness theorems to appear later), the current volume begins the classification of the finite simple groups of special even type. The principal result of this volume is a classification of the groups of bicharacteristic type, i.e., of both even type and of $p$-type for a suitable odd prime $p$. It is here that the largest sporadic groups emerge, namely the Monster, the Baby Monster, the largest Conway group, and the three Fischer groups, along with six finite groups of Lie type over small fields, several of which play a major role as subgroups or sections of these sporadic groups.

Seller Inventory # LU-9781470464370

Bibliographic Details

• Title: The Classification of the Finite Simple Groups, Number 9
• Publisher: American Mathematical Society, US
• Publication Date: 2021
• Language: English
• ISBN 10: 1470464373
• ISBN 13: 9781470464370
• Binding: Paperback
• Condition: New

About this title

Synopsis

This book is the ninth volume in a series whose goal is to furnish a careful and largely self-contained proof of the classification theorem for the finite simple groups. Having completed the classification of the simple groups of odd type as well as the classification of the simple groups of generic even type (modulo uniqueness theorems to appear later), the current volume begins the classification of the finite simple groups of special even type. The principal result of this volume is a classification of the groups of bicharacteristic type, i.e., of both even type and of p-type for a suitable odd prime p. It is here that the largest sporadic groups emerge, namely the Monster, the Baby Monster, the largest Conway group, and the three Fischer groups, along with six finite groups of Lie type over small fields, several of which play a major role as subgroups or sections of these sporadic groups.

About the Author

Inna Capdeboscq: University of Warwick, Coventry, United Kingdom, Daniel Gorenstein, Richard Lyons: Rutgers University, Piscataway, NJ, Ronald Solomon: The Ohio State University, Columbus, OH