13 citations · 24 across the 4 of their papers we have counts for
4 papers
On -arc-transitive graphs of order
Luke Morgan, Eric Swartz, Gabriel Verret
We show that there exist functions and such that, if , and are positive integers with and is a -valent -arc-transitive graph of order …
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 and $L_…
On locally semiprimitive graphs and a theorem of Weiss
Michael Giudici, Luke Morgan
In this paper we investigate graphs that admit a group acting arc-transitively such that the local action is semiprimitive with a regular normal nilpotent subgroup. This type of se…
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…