7 citations · 19 across the 30 of their papers we have counts for
4 papers · 1 filter
Rank three innately transitive permutation groups and related -transitive groups
Anton A. Baykalov, Alice Devillers, Cheryl E. Praeger
The sets of primitive, quasiprimitive, and innately transitive permutation groups may each be regarded as the building blocks of finite transitive permutation groups, and are analo…
A characterisation of edge-affine -arc-transitive covers of $\K_{2^n,2^n}$
Daniel R. Hawtin, Cheryl E. Praeger, Jin-Xin Zhou
We introduce the notion of an \emph{-dimensional mixed dihedral group}, a general class of groups for which we give a graph theoretic characterisation. In particular, if is…
On the proportion of elements of prime order in finite symmetric groups
Cheryl E. Praeger, Enoch Suleiman
We give a short proof for an explicit upper bound on the proportion of permutations of a given prime order , acting on a finite set of given size , which is sharp for certain…
Analysing flag-transitive point-imprimitive 2-designs
Alice Devillers, Cheryl E. Praeger
In this paper we develop several general methods for analysing flag-transitive point-imprimitive -designs, which give restrictions on both the automorphisms and parameters of su…