In this paper we obtain a classification of those subgroups of the finite general linear group GLd (q) with orders divisible by a primitive prime divisor of qe − 1 for some . In the course of the… Expand

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

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

CHERYL E. PRAEGE R AN JAD N SAXLThe proble omf bounding the order of a permutation grou G ipn terms of itsdegree n was one of the central problem of 19tsh century group theory (see [4]) It.is closely… Expand

Let G be a finite almost simple group, with L = F ∗(G) the unique minimal norma subgroup ofG—soL is a finite simple group. For x ∈G, letα(x) be the minimal numbe of L-conjugates of x which generate… Expand