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The Subgroup Structure of the Finite Classical Groups
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 theExpand
Representations and Characters of Groups
Groups representations and characters book 1976. representation and characters of groups gordon james. representations and characters of groups by gordon james. representations and characters ofExpand
On the O'Nan-Scott theorem for finite primitive permutation groups
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
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 ofExpand
The Affine Permutation Groups of Rank Three
(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 anExpand
A classification of the maximal subgroups of the finite alternating and symmetric groups
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, ofExpand
Diameters of finite simple groups: sharp bounds and applications
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 applicationsExpand
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 playExpand