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Isolated involutions in finite groups
About this Title
Rebecca Waldecker, Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik, Theodor-Lieser-Straße 5, 06120 Halle (Saale), Germany
Publication: Memoirs of the American Mathematical Society
Publication Year:
2013; Volume 226, Number 1061
ISBNs: 978-0-8218-8803-2 (print); 978-1-4704-1061-2 (online)
DOI: https://doi.org/10.1090/S0065-9266-2013-00684-3
Published electronically: March 15, 2013
Keywords: Finite group,
Z*-Theorem,
isolated involution
MSC: Primary 20E25, 20E34
Table of Contents
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
Abstract
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