Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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

PDF View full volume as PDF

View other years and numbers:

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