13 citations · 42 across the 22 of their papers we have counts for
5 papers · 1 filter
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_…
A characterisation of weakly locally projective amalgams related to and the sporadic simple groups and
Michael Giudici, A. A. Ivanov, Luke Morgan +1
A simple undirected graph is weakly -locally projective, for a group of automorphisms , if for each vertex , the stabiliser induces on the set of vertices adjacent…
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…
A class of semiprimitive groups that are graph-restrictive
Michael Giudici, Luke Morgan
We prove that an infinite family of semiprimitive groups are graph-restrictive. This adds to the evidence for the validity of the PSV Conjecture and increases the minimal imprimiti…