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9781470475536 Academic Inspection Copy

The Classification of the Finite Simple Groups, Number 10

Part V, Chapters 9-17: Theorem $C_6$ and Theorem $C^*_4$, Case A
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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.
Inna Capdeboscq, University of Warwick, Coventry, United Kingdom. Daniel Gorenstein, Richard Lyons, Rutgers University, Piscataway, NJ. Ronald Solomon, The Ohio State University, Columbus, OH.
General group-theoretic lemmas Theorem $\mathscr{C}_6$ and $\mathscr{C}_6^*$ Theorems $\mathscr{C}_4$ and $\mathscr{C}_4^*$: Introduction Theorem $\mathscr{C}_4^*$: Stage A1. First steps Theorem $\mathscr{C}_4^*$: Stage A2. Nonconstrained $p$-rank 3 centralizers Theorem $\mathscr{C}_4^*$: Stage A3. $KM$-singularities Theorem $\mathscr{C}_4^*$: Stage A4. Setups for recognizing $G$ Theorem $\mathscr{C}_4^*$: Stage A5. Recognition Properties of $\mathscr{K}$-groups Bibliography Index
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