Regular subgroups of primitive permutation groups / Liebeck M.W., Praeger C.E., Saxl J. - Providence: American Mathematical Society, 2010. - 74 p. - (Memoirs of the American Mathematical Society; Vol.203, N 952). - Ref.: p.73-74. - ISBN 978-0-8218-4654-4; ISSN 0065-9266  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Chapter 1 Introduction ......................................... 1 Chapter 2 Preliminaries ........................................ 7 Chapter 3 Transitive and antiflag transitive linear groups .... 11 Chapter 4 Subgroups of classical groups transitive on subspaces ........................................... 15 Chapter 5 Proof of Theorem 1.1: Linear groups ................. 23 Chapter 6 Proof of Theorem 1.1: Unitary groups ................ 27 Chapter 7 Proof of Theorem 1.1: Orthogonal groups in odd dimension ........................................... 31 Chapter 8 Proof of Theorem 1.1: Orthogonal groups of minus type ................................................ 35 Chapter 9 Proof of Theorem 1.1: Some special actions of symplectic and orthogonal groups .................... 37 Chapter 10 Proof of Theorem 1.1: Remaining symplectic cases .... 45 Chapter 11 Proof of Theorem 1.1: Orthogonal groups of plus type ................................................ 51 Chapter 12 Proof of Theorem 1.1: Exceptional groups of Lie type ................................................ 55 Chapter 13 Proof of Theorem 1.1: Alternating groups ............ 57 Chapter 14 Proof of Theorem 1.1: Sporadic groups ............... 61 Chapter 15 Proof of Theorem 1.4 and Corollary 1.3 .............. 65 Chapter 16 The tables in Theorem 1.1 ........................... 69 References ..................................................... 73