The Classification of the Finite Simple Groups, Number 9: Part V, Chapters 1-8: Theorem $C_5$ and Theorem $C_6$, Stage 1

Inna Capdeboscq

ISBN 10: 1470464373 ISBN 13: 9781470464370

Editorial: American Mathematical Society, 2021

Idioma: Ingl�s

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T�tulo

The Classification of the Finite Simple Groups, Number 9: Part V, Chapters 1-8: Theorem $C_5$ and Theorem $C_6$, Stage 1

Editor

American Mathematical Society

Fecha de publicaci�n

2021

Idioma

Ingl�s

ISBN 10

1470464373

ISBN 13

9781470464370

Encuadernaci�n

Paperback / softback

Estado

New

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Sinopsis

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.

Acerca del autor

Inna Capdeboscq, University of Warwick, Coventry, United Kingdom.

Daniel Gorenstein, Rutgers University, Piscataway, NJ.

Richard Lyons, Rutgers University, Piscataway, NJ.

Ronald Solomon, The Ohio State University, Columbus, OH.

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