Classification of the Finite Simple Groups, Number 10

Part V, Chapters 9-17: Theorem $C_6$ and Theorem $C^*_4$, Case a

AvInna Capdeboscq,Daniel Gorenstein

Häftad, Engelska, 2023

Del i serien Mathematical Surveys and Monographs

1 532 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2023-12-31
Mått:178 x 254 x undefined mm
Vikt:484 g
Format:Häftad
Språk:Engelska
Serie:Mathematical Surveys and Monographs
Antal sidor:570
Förlag:American Mathematical Society
ISBN:9781470475536

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Inna Capdeboscq, University of Warwick, Coventry, United Kingdom.Daniel Gorenstein, Richard Lyons, Rutgers University, Piscataway, NJ.Ronald Solomon, The Ohio State University, Columbus, OH.

Innehållsförteckning

General group-theoretic lemmasTheorem $\mathscr{C}_6$ and $\mathscr{C}_6^*$Theorems $\mathscr{C}_4$ and $\mathscr{C}_4^*$: IntroductionTheorem $\mathscr{C}_4^*$: Stage A1. First stepsTheorem $\mathscr{C}_4^*$: Stage A2. Nonconstrained $p$-rank 3 centralizersTheorem $\mathscr{C}_4^*$: Stage A3. $KM$-singularitiesTheorem $\mathscr{C}_4^*$: Stage A4. Setups for recognizing $G$Theorem $\mathscr{C}_4^*$: Stage A5. RecognitionProperties of $\mathscr{K}$-groupsBibliographyIndex

Mer från samma författare

Classification of the Finite Simple Groups, Number 9

Inna Capdeboscq, Daniel Gorenstein, Richard Lyons, Ronald Solomon

Häftad, 2021

1 158 kr

Mer från samma serie

Numerical Algorithms for Number Theory

Karim Belabas, Henri Cohen

Häftad, 2021

1 490 kr

Algebraic Theory of Semigroups, Volume 2

American Mathematical Society

Häftad, 1967

1 532 kr

Fine Regularity of Solutions of Elliptic Partial Differential Equations

American Mathematical Society

Inbunden, 1997

1 532 kr

Algebras of Functions on Quantum Groups, Part 1

American Mathematical Society

Inbunden, 1998

1 532 kr

Free Lattices

American Mathematical Society

Inbunden, 1995

1 532 kr