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The Subgroup Structure of the Finite Classical Groups

- P. B. Kleidman, M. Liebeck
- Mathematics
- 27 April 1990

1. Motivation and setting for the results 2. Basic properties of the classical groups 3. The statement of the main theorem 4. The structure and conjugacy of the members of C 5. Properties of the… Expand

Representations and Characters of Groups

- G. James, M. Liebeck
- Mathematics
- 1 October 2001

Groups representations and characters book 1976. representation and characters of groups gordon james. representations and characters of groups by gordon james. representations and characters of… Expand

The maximal factorizations of the finite simple groups and their automorphism groups

- M. Liebeck, C. Praeger, J. Saxl
- Mathematics
- 1990

On the O'Nan-Scott theorem for finite primitive permutation groups

- M. Liebeck, C. Praeger, J. Saxl
- Mathematics
- 1 June 1988

We give a self-contained proof of the O'Nan-Scott Theorem for finite primitive permutation groups.

On minimal degrees and base sizes of primitive permutation groups

- M. Liebeck
- Mathematics
- 1 July 1984

The minimal degree/~ (G) of a primitive permutat ion group G of degree n on a set ~, that is, the smallest number of points moved by any non-identity element of G, has been the subject of… Expand

The Affine Permutation Groups of Rank Three

- M. Liebeck
- Mathematics
- 1 May 1987

(iii) G is an ajfine group, that is, the socle of G is a vector space V, where V s= {ZpY for some prime p and n=p ; moreover, if Go is the stabilizer of the zero vector in V then G = VG0, Go is an… Expand

A classification of the maximal subgroups of the finite alternating and symmetric groups

- M. Liebeck, C. Praeger, J. Saxl
- Mathematics
- 1 December 1987

Following the classification of finite simple groups, one of the major problems in finite group theory today is the determination of the maximal subgroups of the almost simple groups-that is, of… Expand

Diameters of finite simple groups: sharp bounds and applications

- M. Liebeck, A. Shalev
- Mathematics
- 1 September 2001

Let G be a finite simple group and let S be a normal subset of G. We determine the diameter of the Cayley graph r(G, S) associated with G and S, up to a multiplicative constant. Many applications… Expand

SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL GROUPS OF LIE TYPE

- M. Liebeck, J. Saxl, G. Seitz
- Mathematics
- 1 September 1992

The purpose of this paper is to investigate a large and natural class of maximal subgroups of the finite exceptional groups of Lie type, which we call subgroups of maximal rank. These subgroups play… Expand

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