The Classification of the Finite Simple Groups, Number 10

Ronald Solomon, Inna Capdeboscq, Daniel Gorenstein, Richard Lyons

ISBN 10: 1470475537 / ISBN 13: 9781470475536

Published by American Mathematical Society, US, 2023

About this Item

This book is the tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups based on a fairly short and clearly enumerated set of background results. Specifically, this book completes our identification of the simple groups of bicharacteristic type begun in the ninth volume of the series (see SURV/40.9). This is a fascinating set of simple groups which have properties in common with matrix groups (or, more generally, groups of Lie type) defined both over fields of characteristic 2 and over fields of characteristic 3. This set includes 11 of the celebrated 26 sporadic simple groups along with several of their large simple subgroups. Together with SURV/40.9, this volume provides the first unified treatment of this class of simple groups.

Seller Inventory # LU-9781470475536

Bibliographic Details

• Title: The Classification of the Finite Simple Groups, Number 10
• Publisher: American Mathematical Society, US
• Publication Date: 2023
• Language: English
• ISBN 10: 1470475537
• ISBN 13: 9781470475536
• Binding: Paperback
• Condition: New

About this title

Synopsis

This book is the tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups based on a fairly short and clearly enumerated set of background results. Specifically, this book completes our identification of the simple groups of bicharacteristic type begun in the ninth volume of the series (see SURV/40.9). This is a fascinating set of simple groups which have properties in common with matrix groups (or, more generally, groups of Lie type) defined both over fields of characteristic 2 and over fields of characteristic 3. This set includes 11 of the celebrated 26 sporadic simple groups along with several of their large simple subgroups. Together with SURV/40.9, this volume provides the first unified treatment of this class of simple groups.

About the Author

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