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The maximal factorizations of the finite simple groups and their automorphism groups
Linear Groups with Orders Having Certain Large Prime Divisors
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
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.
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, of… Expand
SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL GROUPS OF LIE TYPE
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
On the Orders of Maximal Subgroups of the Finite Exceptional Groups of Lie Type
On the orders of Primitive Permutation Groups
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 ) It.is closely… Expand
Generation of finite almost simple groups by conjugates
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