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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
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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 61; 1986; 196 ppMSC: Primary 20;
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Table of Contents
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Chapters
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Part I. Characterization of Chevalley groups and some locally $\mathcal {E}$-unbalanced groups
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0. Introduction
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1. Preliminary concepts and results
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2. $2$-components of type $\textrm {PSL}(2,q)$ and $A_7$
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3. Characterization of groups of type $\mathcal {C}$ that are not of type $\operatorname {Chev}(p)$
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4. Characterization of Chevalley groups
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Part II. The $B$-conjecture; signalizer functors
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0. Introduction
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1. Properties of uneven $2$-components
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2. Existence of $A$-odd $2$-components
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3. Regular elementary $2$-groups and the generation of layers
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4. Construction of proper subgroups by signalizer functors
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5. Properties of a minimal counterexample
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6. Proof of Theorem I
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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
Review Copy – for reviewers who would like to review an AMS book
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Accessibility – to request an alternate format of an AMS title
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