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The Local Structure Theorem for Finite Groups with a Large $p$-Subgroup
About this Title
U. Meierfrankenfeld, Department of Mathematics, Michigan State University, East Lansing Michigan 48824, B. Stellmacher, Gneisenaustrasse 6, D24105 Kiel and G. Stroth, Martin-Luther-UniversitΓ€t Halle-Wittenberg, Institut fΓΌr Mathematik, D06099 Halle
Publication: Memoirs of the American Mathematical Society
Publication Year:
2016; Volume 242, Number 1147
ISBNs: 978-1-4704-1877-9 (print); 978-1-4704-2948-5 (online)
DOI: https://doi.org/10.1090/memo/1147
Published electronically: April 8, 2016
Previous Version:Original version posted April 8, 2016 with incorrect title
Keywords: Local characteristic $p$,
large subgroup,
finite simple groups
MSC: Primary 20D05
Table of Contents
Chapters
- Introduction
- 1. Definitions and Preliminary Results
- 2. The Case Subdivision and Preliminary Results
- 3. The Orthogonal Groups
- 4. The Symmetric Case
- 5. The Short Asymmetric Case
- 6. The Tall $char\, p$-Short Asymmetric Case
- 7. The $char\, p$-Tall $Q$-Short Asymmetric Case
- 8. The $Q$-Tall Asymmetric Case I
- 9. The $Q$-tall Asymmetric Case II
- 10. Proof of the Local Structure Theorem
- A. Module theoretic Definitions and Results
- B. Classical Spaces and Classical Groups
- C. FF-Module Theorems and Related Results
- D. The Fitting Submodule
- E. The Amalgam Method
- Bibliography
Abstract
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