Maximal PSL_2 Subgroups of Exceptional Groups of Lie Type.

Cover
Title page
Chapter 1. Introduction
Chapter 2. Notation and Preliminaries
Chapter 3. Maximal Subgroups
Chapter 4. Maximal Subgroups and Subspace Stabilizers
Chapter 5. Blueprint Theorems for Semisimple Elements
5.1. Preliminary Results
5.2. Determination of the Bounds for the Minimal Module
5.3. Consequences for Maximal Subgroups
Chapter 6. Unipotent and Semisimple Elements
6.1. Actions of Unipotent Elements
6.2. Blueprints and Element Orders
6.3. Blueprints inside Subgroups of Type ₁
6.4. Traces of Modules for \PGL₂
6.5. The Graph Automorphism of ₄
6.6. Rank-1 Subalgebras of the Lie Algebra
Chapter 7. Modules for \SL₂
7.1. Modules for \SL₂(2^{ })
7.2. Modules for \SL₂(3^{ })
7.3. Modules for \SL₂( )
7.4. Modules for \SL₂( ^{ }) for ≥5 and >
1
Chapter 8. Some \PSL₂s inside ₆ in Characteristic 3
Chapter 9. Proof of the Theorems: Strategy
Chapter 10. The Proof for ₄
10.1. Characteristic 2
10.2. Characteristic 3
10.3. Characteristic At Least 5
Chapter 11. The Proof for ₆
11.1. Characteristic 2
11.2. Characteristic 3
11.3. Characteristic At Least 5
Chapter 12. The Proof for ₇ in Characteristic 2
Chapter 13. The Proof for ₇ in Odd Characteristic: \PSL₂ Embedding
13.1. Characteristic 3
13.2. Characteristic At Least 5
Chapter 14. The Proof for ₇ in Odd Characteristic: \SL₂ Embedding
14.1. Characteristic 3
14.2. Characteristic At Least 5
Appendix A. Actions of Maximal Positive-Dimensional Subgroups on Minimal and Adjoint Modules
Appendix B. Traces of Small-Order Semisimple Elements
Bibliography
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