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The $B$-Conjecture: Characterization of Chevalley Groups
 
John H. Walter
Front Cover for The $B$-Conjecture: Characterization of Chevalley Groups
Available Formats:
Electronic ISBN: 978-1-4704-0761-2
Product Code: MEMO/61/345.E
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $18.60
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Front Cover for The $B$-Conjecture: Characterization of Chevalley Groups
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The $B$-Conjecture: Characterization of Chevalley Groups
John H. Walter
Available Formats:
Electronic ISBN:  978-1-4704-0761-2
Product Code:  MEMO/61/345.E
List Price: $31.00
MAA Member Price: $27.90
AMS Member Price: $18.60
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 61; 1986; 196 pp
    MSC: Primary 20;
  • 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
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Memoirs of the American Mathematical Society
Volume: 61; 1986; 196 pp
MSC: Primary 20;
  • 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
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