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The $B$-conjecture; characterization of Chevalley groups
About this Title
John H. Walter
Publication: Memoirs of the American Mathematical Society
Publication Year:
1986; Volume 61, Number 345
ISBNs: 978-0-8218-2345-3 (print); 978-1-4704-0761-2 (online)
DOI: https://doi.org/10.1090/memo/0345
MathSciNet review: 840833
MSC: Primary 20D05
Table of Contents
Chapters
- Part I. Characterization of Chevalley groups and some locally $\mathcal {E}$-unbalanced groups
- 0. Introduction
- 1. Preliminary concepts and results
- 2. $2$-components of type $\textrm {PSL}(2,q)$ and $A_7$
- 3. Characterization of groups of type $\mathcal {C}$ that are not of type $\operatorname {Chev}(p)$
- 4. Characterization of Chevalley groups
- Part II. The $B$-conjecture; signalizer functors
- 0. Introduction
- 1. Properties of uneven $2$-components
- 2. Existence of $A$-odd $2$-components
- 3. Regular elementary $2$-groups and the generation of layers
- 4. Construction of proper subgroups by signalizer functors
- 5. Properties of a minimal counterexample
- 6. Proof of Theorem I