Suppose that an automorphism group G acts flag-transitively on a finite generalized hexagon or octagon S, and suppose that the action on both the point and line set is primitive. We show that G is anâ€¦ (More)

For odd primes we prove some structure theorems for finite p-groupsG, such that Gâ€²â€² 6= 1 and |Gâ€²/Gâ€²â€²| = p. Building on results of Blackburn and Hall, it is shown that Î³3(G) is a maximal subgroup of Gâ€¦ (More)

1 School of Mathematics and Statistics, The University of Western Australia 35 Stirling Highway CRAWLEY WA 6009 Australia Cheryl.Praeger@uwa.edu.au, alias.sqbr@gmail.com 2 Faculty of Informationâ€¦ (More)

A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper. Thisâ€¦ (More)

A nilpotent quotient algorithm for finitely presented Lie rings over Z (LIENQ) is described. The paper studies the graded and non-graded cases separately. The algorithm computes the so-calledâ€¦ (More)

Let a be a non-invertible transformation of a finite set and let G be a group of permutations on that same set. Then ã€ˆG, a ã€‰ \G is a subsemigroup, consisting of all non-invertible transformations, inâ€¦ (More)

The blow-up construction by L. G. KovÃ¡cs has been a very useful tool to study embeddings of finite primitive permutation groups into wreath products in product action. In the present paper we extendâ€¦ (More)