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Isolated Involutions in Finite Groups
| eBook ISBN: | 978-1-4704-1061-2 |
| Product Code: | MEMO/226/1061.E |
| List Price: | $83.00 |
| MAA Member Price: | $74.70 |
| AMS Member Price: | $49.80 |
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Isolated Involutions in Finite Groups
| eBook ISBN: | 978-1-4704-1061-2 |
| Product Code: | MEMO/226/1061.E |
| List Price: | $83.00 |
| MAA Member Price: | $74.70 |
| AMS Member Price: | $49.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 226; 2013; 150 ppMSC: Primary 20
This text provides a new proof of Glauberman's Z*-Theorem under the additional hypothesis that the simple groups involved in the centraliser of an isolated involution are known simple groups.
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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. Isolated Involutions
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4. A Minimal Counter-Example to Glauberman’s Z*-Theorem
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5. Balance and Signalizer Functors
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6. Preparatory Results for the Local Analysis
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7. Maximal Subgroups Containing $C$
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8. The $2$-rank of $O_{2’,2}(C)$
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9. Components of $\bar {C}$ and the Soluble Z*-Theorem
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10. Unbalanced Components
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11. The $2$-Rank of $G$
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12. The F*-Structure Theorem
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13. More Involutions
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14. The Endgame
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15. The Final Contradiction and the Z*-Theorem for $\mathcal {K}_2$-Groups
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Volume: 226; 2013; 150 pp
MSC: Primary 20
This text provides a new proof of Glauberman's Z*-Theorem under the additional hypothesis that the simple groups involved in the centraliser of an isolated involution are known simple groups.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Isolated Involutions
-
4. A Minimal Counter-Example to Glauberman’s Z*-Theorem
-
5. Balance and Signalizer Functors
-
6. Preparatory Results for the Local Analysis
-
7. Maximal Subgroups Containing $C$
-
8. The $2$-rank of $O_{2’,2}(C)$
-
9. Components of $\bar {C}$ and the Soluble Z*-Theorem
-
10. Unbalanced Components
-
11. The $2$-Rank of $G$
-
12. The F*-Structure Theorem
-
13. More Involutions
-
14. The Endgame
-
15. The Final Contradiction and the Z*-Theorem for $\mathcal {K}_2$-Groups
Review Copy – for publishers of book reviews
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