6 citations · 20 across the 22 of their papers we have counts for
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Normal coverings of finite symmetric and alternating groups
Daniela Bubboloni, Cheryl Praeger
In this paper we investigate the minimum number of maximal subgroups H_i for i=1 ...k of the symmetric group S_n (or the alternating group A_n) such that each element in the group…
Set-homogeneous directed graphs
Robert Gray, Dugald Macpherson, Cheryl E. Praeger +1
A directed graph is set-homogeneous if, whenever U and V are isomorphic finite subdigraphs, there is an automorphism g of the digraph with U^g=V. Here, extending work of Lachlan on…
Basic coset geometries
Michael Giudici, Geoffrey Pearce, Cheryl E. Praeger
In earlier work we gave a characterisation of pregeometries which are `basic' (that is, admit no `non-degenerate' quotients) relative to two different kinds of quotient operations,…