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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: $18.60 Click above image for expanded view The$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
• Book Details

Memoirs of the American Mathematical Society
Volume: 611986; 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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Volume: 611986; 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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