Publications (34)
On $2$-arc-transitive graphs of order $kp^n$
Luke Morgan, Eric Swartz, Gabriel Verret
Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs
Primoz Potocnik, Pablo Spiga, Gabriel Verret
On the order of vertex-stabilisers in vertex-transitive graphs with local group $C_p\times C_p$ or $C_p \wr C_2$
Pablo Spiga, Gabriel Verret
Semiregular automorphisms of cubic vertex-transitive graphs
Joy Morris, Pablo Spiga, Gabriel Verret
The number of composition factors of order $p$ in completely reducible groups of characteristic $p$
Michael Giudici, S. P. Glasby, Cai Heng Li +1
Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primoz Potocnik, Gabriel Verret
Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret
Arc-transitive graphs of valency 8 have a semiregular automorphism
Gabriel Verret
Skew product groups for monolithic groups
Martin Bachratý, Marston Conder, Gabriel Verret
Automorphisms of Cayley graphs on generalised dicyclic groups
Joy Morris, Pablo Spiga, Gabriel Verret
Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures
Primož PotoÄnik, Pablo Spiga, Gabriel Verret
Characterising CCA Sylow cyclic groups whose order is not divisible by four
Luke Morgan, Joy Morris, Gabriel Verret
Vertex-primitive digraphs having vertices with almost equal neighbourhoods
Pablo Spiga, Gabriel Verret
Arc-transitive digraphs with quasiprimitive local actions
Michael Giudici, S. P. Glasby, Cai Heng Li +1
Elusive groups of automorphisms of digraphs of small valency
Michael Giudici, Luke Morgan, Primož PotoÄnik +1
A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Tetravalent arc-transitive graphs with unbounded vertex-stabilisers
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Cubic arc-transitive $k$-circulants
Michael Giudici, István Kovács, Cai Heng Li +1
Vertex-transitive CIS graphs
Edward Dobson, Ademir HujduroviÄ, Martin MilaniÄ +1
Bounding the composition length of primitive permutation groups and completely reducible linear groups
S. P. Glasby, Cheryl E. Praeger, Kyle Rosa +1
A finite simple group is CCA if and only if it has no element of order four
Luke Morgan, Joy Morris, Gabriel Verret
Arc-transitive graphs of valency twice a prime admit a semiregular automorphism
Michael Giudici, Gabriel Verret
Asymptotic enumeration of vertex-transitive graphs of fixed valency
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Isomorphisms of Cayley graphs on nilpotent groups
Dave Witte Morris, Joy Morris, Gabriel Verret
Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5
Joanna B. Fawcett, Michael Giudici, Cai Heng Li +3
On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs
Luke Morgan, Pablo Spiga, Gabriel Verret
Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph
Cheryl E. Praeger, Pablo Spiga, Gabriel Verret
Cubic vertex-transitive graphs on up to 1280 vertices
Primoz Potocnik, Pablo Spiga, Gabriel Verret
On graph-restrictive permutation groups
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Semiregular automorphisms of edge-transitive graphs
Michael Giudici, Primoz Potocnik, Gabriel Verret
On intransitive graph-restrictive permutation groups
Pablo Spiga, Gabriel Verret
On the order of arc-stabilisers in arc-transitive graphs with prescribed local group
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Edge-transitive graphs of small order and the answer to a 1967 question by Folkman
Marston Conder, Gabriel Verret
Cayley graphs on abelian groups
Edward Dobson, Pablo Spiga, Gabriel Verret