16 citations · 77 across the 45 of their papers we have counts for
5 papers · 1 filter
Bounding the composition length of primitive permutation groups and completely reducible linear groups
S. P. Glasby, Cheryl E. Praeger, Kyle Rosa +1
We obtain upper bounds on the composition length of a finite permutation group in terms of the degree and the number of orbits, and analogous bounds for primitive, quasiprimitive a…
Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primoz Potocnik, Gabriel Verret
Given integers and , we construct a -arc-transitive graph of valency and an -arc-transitive oriented digraph of out-valency such that and both admit bl…
A finite simple group is CCA if and only if it has no element of order four
Luke Morgan, Joy Morris, Gabriel Verret
A Cayley graph for a group is CCA if every automorphism of the graph that preserves the edge-orbits under the regular representation of is an element of the normaliser of $…
Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret
Let be a Cayley digraph on a group and let . The Cayley index of is . It has previously been shown that, if is a prime,…
Characterising CCA Sylow cyclic groups whose order is not divisible by four
Luke Morgan, Joy Morris, Gabriel Verret
A Cayley graph on a group 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…