# Regular Subgroups of Primitive Permutation Groups

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*Martin W. Liebeck; Cheryl E. Praeger; Jan Saxl*

#### Table of Contents

# Table of Contents

## Regular Subgroups of Primitive Permutation Groups

- Chapter 1. Introduction 18 free
- Chapter 2. Preliminaries 714 free
- Chapter 3. Transitive and antiflag transitive linear groups 1118
- Chapter 4. Subgroups of classical groups transitive on subspaces 1522
- Chapter 5. Proof of Theorem 1.1: Linear groups 2330
- Chapter 6. Proof of Theorem 1.1: Unitary groups 2734
- Chapter 7. Proof of Theorem 1.1: Orthogonal groups in odd dimension 3138
- Chapter 8. Proof of Theorem 1.1: Orthogonal groups of minus type 3542
- Chapter 9. Proof of Theorem 1.1: Some special actions of symplectic and orthogonal groups 3744
- Chapter 10. Proof of Theorem 1.1: Remaining symplectic cases 4552
- Chapter 11. Proof of Theorem 1.1: Orthogonal groups of plus type 5158
- Chapter 12. Proof of Theorem 1.1: Exceptional groups of Lie type 5562
- Chapter 13. Proof of Theorem 1.1: Alternating groups 5764
- Chapter 14. Proof of Theorem 1.1: Sporadic groups 6168
- Chapter 15. Proof of Theorem 1.4 and Corollary 1.3 6572
- Chapter 16. The tables in Theorem 1.1 6976
- References 7380