16 citations · 77 across the 45 of their papers we have counts for
4 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_…
Vertex-transitive CIS graphs
Edward Dobson, Ademir Hujdurović, Martin Milanič +1
A CIS graph is a graph in which every maximal stable set and every maximal clique intersect. A graph is well-covered if all its maximal stable sets are of the same size, co-well-co…
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…
Semiregular automorphisms of cubic vertex-transitive graphs
Joy Morris, Pablo Spiga, Gabriel Verret
We characterise connected cubic graphs admitting a vertex- transitive group of automorphisms with an abelian normal subgroup that is not semiregular. We illustrate the utility of t…