Regular subgroups of primitive permutation groups

Regular subgroups of primitive permutation groups / Martin W. Liebeck, Cheryl E. Praeger, Jan Saxl.

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Bibliographic Details
Main Author: Liebeck, M. W. (Martin W.), 1954-
Other Authors: Praeger, Cheryl E., 1948-, Saxl, J. (Jan), 1948-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2010.
Series:Memoirs of the American Mathematical Society ; no. 952.
Subjects:
Permutation groups.
Finite simple groups.
MATHEMATICS > Algebra > Intermediate.
Finite simple groups
Permutation groups
Endliche einfache Gruppe
Permutationsgruppe
Online Access:Click for online access
Table of Contents:
  • Introduction
  • Preliminaries
  • Transitive and antiflag transitive linear groups
  • Subgroups of classical groups transitive on subspaces
  • Proof of Theorem 1.1: linear groups
  • Proof of Theorem 1.1: unitary groups
  • Proof of Theorem 1.1: orthogonal groups in odd dimension
  • Proof of Theorem 1.1: orthogonal groups of minus type
  • Proof of Theorem 1.1: some special actions of symplectic and orthogonal groups
  • Proof of Theorem 1.1: remaining symplectic cases
  • Proof of Theorem 1.1: orthogonal groups of plus type
  • Proof of Theorem 1.1: exceptional groups of lie type
  • Proof of Theorem 1.1: alternating groups
  • Proof of Theorem 1.1: sporadic groups
  • Proof of Theorem 1.4 and Corollary 1.3
  • The tables in Theorem 1.1.

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