The Irreducible Subgroups of Exceptional Algebraic Groups.

Cover
Title page
Chapter 1. Introduction
Chapter 2. Notation
Chapter 3. Preliminaries
Chapter 4. Strategy for the proofs of Theorems 5.1-9.1
Chapter 5. Irreducible subgroups of ₂
Chapter 6. Irreducible subgroups of ₄
6.1. = ₄ ( ₄(#\ffour))
6.2. = ₄ ( =2) ( ₄(#\ffour))
6.3. = ₁ ₃ ( ₄(#\ffour{24}))
6.4. = ₁ ₂ ( ≠2) ( ₄(#\ffour{25}))
6.5. = ₂ ₂ ( ₄(#\ffour{26}))
6.6. = ₂ ( =7) ( ₄(#\ffour))
Chapter 7. Irreducible subgroups of = ₆
7.1. = ₁ ₅ ( ₆(#\esix{24}))
7.2. = ₂³ ( ₆(#\esix{25}))
7.3. = ₂ ₂ ( ₆(#\esix{26}))
7.4. = ₄ ( ₆(#\esix{7}))
7.5. = ₄ ( ₆(#\esix{8}))
7.6. = ₂ ( ₆(#\esix))
Chapter 8. Irreducible subgroups of = ₇
8.1. = ₁ ₆ ( ₇(#\eseven{30}))
8.2. = ₂ ₅ ( ₇(#\eseven{31}))
8.3. = ₇ ( ₇(#\eseven{22}))
8.4. = ₂ ₃ ( ₇(#\eseven{32}))
8.5. = ₁ ₄ ( ₇(#\eseven{33}))
8.6. = ₁ ₂ ( ≠2) ( ₇(#\eseven{34}))
Chapter 9. Irreducible subgroups of = ₈
9.1. = ₈ ( ₈(#\eeight{43}))
9.2. = ₁ ₇ ( ₈(#\eeight{102}))
9.3. = ₂ ₆ ( ₈(#\eeight{103}))
9.4. = ₈ ( ₈(#\eeight{62}))
9.5. = ₄² ( ₈(#\eeight{104}))
9.6. = ₂ ₄ ( ₈(#\eeight{105}))
9.7. = ₄ ( =3) ( ₈(#\eeight{1049}))
9.8. = ₂ ( ≥5) ( ₈(#\eeight{101}))
9.9. = ₁ ₂ ( ≥5) ( ₈(#\eeight{106}))
Chapter 10. Corollaries
10.1. Variations of Steinberg's Tensor Product Theorem
Chapter 11. Tables for Theorem 1
11.1. Irreducible diagonal subgroups
Chapter 12. Composition factors for -irreducible subgroups
Chapter 13. Composition factors for the action of Levi subgroups
Bibliography
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