Luke Morgan

activity

20162025

most citedFinite simple groups have many classes of

p

-elements

1 citations · 2 across the 9 of their papers we have counts for

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Showing 2017 · math.COShow all

3 papers · 2 filters

math.CO2017

Arc-transitive digraphs of given out-valency and with blocks of given size

Luke Morgan, Primoz Potocnik, Gabriel Verret

Given integers $k$ and $m$ , we construct a $G$ -arc-transitive graph of valency $k$ and an $L$ -arc-transitive oriented digraph of out-valency $k$ such that $G$ and $L$ both admit bl…

math.CO2017

Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups

Luke Morgan, Joy Morris, Gabriel Verret

Let $Γ = Cay (G, S)$ be a Cayley digraph on a group $G$ and let $A = Aut (Γ)$ . The Cayley index of $Γ$ is $∣ A : G ∣$ . It has previously been shown that, if $p$ is a prime,…

math.CO2017

Characterising CCA Sylow cyclic groups whose order is not divisible by four

Luke Morgan, Joy Morris, Gabriel Verret

A Cayley graph on a group $G$ has a natural edge-colouring. We say that such a graph is CCA if every automorphism of the graph that preserves this edge-colouring is an element of t…