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The Classification of the Finite Simple Groups, Number 9 - Part V, Chapters 1-8: Theorem $C_5$ and Theorem $C_6$, Stage 1 (Paperback)
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The Classification of the Finite Simple Groups, Number 9 - Part V, Chapters 1-8: Theorem $C_5$ and Theorem $C_6$, Stage 1 (Paperback)
Series: Mathematical Surveys and Monographs
Expected to ship within 12 - 17 working days
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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.
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