The Classification of the Finite Simple Groups, Number 9

Daniel Gorenstein, Inna Capdeboscq, Ronald Solomon, Richard Lyons

ISBN 10: 1470464373 / ISBN 13: 9781470464370

Editore: American Mathematical Society, US, 2021

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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.

Codice articolo LU-9781470464370

Dati bibliografici

• Titolo: The Classification of the Finite Simple Groups, Number 9
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 1470464373
• ISBN 13: 9781470464370
• Rilegatura: Paperback
• Condizione: New
• Peso: 925 grammi

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Riassunto

Capdeboscq and colleagues present the ninth volume in a series to furnish a careful and largely self-contained proof of the classification theorem for the finite simple groups. Having previously completed the classification of the simple groups of odd type as well as the classification of the simple groups of generic even type, and before dealing with modulo uniqueness theorem, they here begin the classification of the finite simple groups of special even type. Their principal result is a classification of the groups of bi-characteristic type, that is, of both even type and of p-type for a suitable odd prime p. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)