Cheryl E. Praeger

collaborators

3 papers

math.CO2022

A characterisation of edge-affine $2$ -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{ $n$ -dimensional mixed dihedral group}, a general class of groups for which we give a graph theoretic characterisation. In particular, if $H$ is…

math.CO2022

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 $p$ , acting on a finite set of given size $n$ , which is sharp for certain…

math.CO2020

Delandtsheer--Doyen parameters for block-transitive point-imprimitive 2-designs

Carmen Amarra, Alice Devillers, Cheryl E. Praeger

Delandtsheer and Doyen bounded, in terms of the block size, the number of points of a point-imprimitive, block-transitive 2-design. To do this they introduced two integer parameter…

A characterisation of edge-affine 2-arc-transitive covers of $\K_{2^n,2^n}$

On the proportion of elements of prime order in finite symmetric groups

Delandtsheer--Doyen parameters for block-transitive point-imprimitive 2-designs

A characterisation of edge-affine $2$ -arc-transitive covers of $\K_{2^n,2^n}$