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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)
MathSciNet review: 840833
MSC: Primary 20D05

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Table of Contents


  • 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