The Classification of the Finite Simple Groups
The Classification of the Finite Simple Groups
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Author(s): Capdeboscq, Inna
Daniel Gorenstein
Gorenstein, Daniel
Inna Capdeboscq
Lyons, Richard
Richard Lyons
ISBN No.: 9781470464370
Pages: 520
Year: 202104
Format: Trade Paper
Price: $ 141.55
Dispatch delay: Dispatched between 7 to 15 days
Status: Available

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.


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