Luke Morgan

activity

20142023

most citedElusive groups of automorphisms of digraphs of small valency

13 citations · 24 across the 5 of their papers we have counts for

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2015

On $2$ -arc-transitive graphs of order $k p^{n}$

Luke Morgan, Eric Swartz, Gabriel Verret

We show that there exist functions $c$ and $g$ such that, if $k$ , $n$ and $d$ are positive integers with $d > g (n)$ and $Γ$ is a $d$ -valent $2$ -arc-transitive graph of order $k p^{n}$ …

math.CO2014

On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs

Luke Morgan, Pablo Spiga, Gabriel Verret

A permutation group is called semiprimitive if each of its normal subgroups is either transitive or semiregular. Given nontrivial finite transitive permutation groups $L_{1}$ and $L_…

math.CO2014★ 13 cited

Elusive groups of automorphisms of digraphs of small valency

Michael Giudici, Luke Morgan, Primož Potočnik +1

A transitive permutation group is called elusive if it contains no semiregular element. We show that no group of automorphisms of a connected graph of valency at most four is elusi…

On 2-arc-transitive graphs of order kpn

On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs

Elusive groups of automorphisms of digraphs of small valency

On $2$ -arc-transitive graphs of order $k p^{n}$