Publications (65)
An application of the Local C(G,T) Theorem to a conjecture of Weiss
Pablo Spiga
Two local conditions on the vertex stabiliser of arc-transitive graphs and their effect on the Sylow subgroups
Pablo Spiga
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 maximal number of coprime subdegrees in finite primitive permutation groups
Silvio Dolfi, Robert Guralnick, Cheryl Praeger +1
The Hall--Paige conjecture, and synchronization for affine and diagonal groups
John N. Bray, Qi Cai, Peter J. Cameron +2
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
Every finite non-solvable group admits an Oriented Regular Representation
Joy Morris, Pablo Spiga
Generalised quadrangles with a group of automorphisms acting primitively on points and lines
John Bamberg, Michael Giudici, Joy Morris +2
A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Finite primitive groups and regular orbits of group elements
Simon Guest, Pablo Spiga
A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group
Andrea Lucchini, Mariapia Moscatiello, Pablo Spiga
Asymptotic enumeration of vertex-transitive graphs of fixed valency
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Bounding the maximal size of independent generating sets of finite groups
Andrea Lucchini, Mariapia Moscatiello, Pablo Spiga
Binary permutation groups: alternating and classical groups
Nick Gill, Pablo Spiga
Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph
Cheryl E. Praeger, Pablo Spiga, Gabriel Verret
Rationality conditions for the eigenvalues of normal finite Cayley graphs
Chris Godsil, Pablo Spiga
An Erdos-Ko-Rado theorem for the derangement graph of PGL(2,q) acting on the projective line
Karen Meagher, Pablo Spiga
Most switching classes with primitive automorphism groups contain graphs with trivial groups
Peter J. Cameron, Pablo Spiga
Compositions of n Satisfying Some Coprimality Conditions
Daniela Bubboloni, Florian Luca, Pablo Spiga
On graph-restrictive permutation groups
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Affine transformations of finite vector spaces with large orders or few cycles
Simon Guest, Joy Morris, Cheryl Praeger +1
On intransitive graph-restrictive permutation groups
Pablo Spiga, Gabriel Verret
Strongly regular edge-transitive graphs
Joy Morris, Cheryl E. Praeger, Pablo Spiga
Classification of finite groups that admit an oriented regular representation
Joy Morris, Pablo Spiga
Finite primitive permutation groups and regular cycles of their elements
Michael Giudici, Cheryl E. Praeger, Pablo Spiga
Normal coverings and pairwise generation of finite alternating and symmetric groups
Daniela Bubboloni, Cheryl E. Praeger, Pablo Spiga
On the maximum orders of elements of finite almost simple groups and primitive permutation groups
Simon Guest, Joy Morris, Cheryl Praeger +1
Twisted Permutation Codes
Neil I. Gillespie, Cheryl E. Praeger, Pablo Spiga
Coprime subdegrees for primitive permutation groups and completely reducible linear groups
Silvio Dolfi, Robert Guralnick, Cheryl Praeger +1
Asymptotic enumeration of Cayley digraphs
Joy Morris, Pablo Spiga
$\wedge$-transitive digraphs preserving a cartesian decomposition
Joy Morris, Pablo Spiga
An ErdÅs-Ko-Rado theorem for finite 2-transitive groups
Karen Meagher, Pablo Spiga, Pham Huu Tiep
A classification of the m-graphical regular representation of finite groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
Finite primitive groups and edge-transitive hypergraphs
Pablo Spiga
A remark on the permutation representations afforded by the embeddings of $O_{2m}^\pm(2^f)$ in $Sp_{2m}(2^f)$
Simon Guest, Andrea Previtali, Pablo Spiga
Groups having complete bipartite divisor graphs for their conjugacy class sizes
Roghayeh Hafezieh, Pablo Spiga
On the maximum order of nilpotent transitive permutation groups
Eleonora Crestani, Pablo Spiga
A comment on: "Further restrictions on the structure of finite DCI-groups"
Edward Dobson, Joy Morris, Pablo Spiga
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
Vertex-primitive digraphs having vertices with almost equal neighbourhoods
Pablo Spiga, Gabriel Verret
On the Fitting height of soluble groups admitting a coprime factorisation
Carlo Casolo, Enrico Jabara, Pablo Spiga
Vertex transitive graphs $G$ with $Ï_D(G) > Ï(G)$ and small automorphism group
Niranjan Balachandran, Sajith Padinhatteeri, Pablo Spiga
Cayley numbers with arbitrarily many distinct prime factors
Edward Dobson, Pablo Spiga
Cherlin's conjecture for sporadic simple groups
Nick Gill, Francesca Dalla Volta, Pablo Spiga
Tetravalent arc-transitive graphs with unbounded vertex-stabilisers
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Lifting a prescribed group of automorphisms of graphs
Pablo Spiga, Primož PotoÄnik
Balanced Cayley graphs and balanced planar graphs
Joy Morris, Pablo Spiga, Kerri Webb
The maximum order of the elements of a finite symplectic group of even characteristic
Pablo Spiga
Failure on n-uniqueness: a family of examples
Elisabetta Pastori, Pablo Spiga
CI-groups with respect to ternary relational structures: new examples
Edward Dobson, Pablo Spiga
An ErdÅs-Ko-Rado theorem for the derangement graph of PGL(3,q) acting on the projective plane
Karen Meagher, Pablo Spiga
Finite primitive permutation groups containing a permutation having at most four cycles
Simon Guest, Cheryl Praeger, Joy Morris +1
On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs
Luke Morgan, Pablo Spiga, Gabriel Verret
Cubic vertex-transitive graphs on up to 1280 vertices
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Abelian Carter subgroups in finite permutation groups
Enrico Jabara, Pablo Spiga
Finite edge-transitive oriented graphs of valency four: a global approach
Jehan A. Al-bar, Ahmad N. Al-kenani, Najat Mohammad Muthana +2
On the order of arc-stabilisers in arc-transitive graphs with prescribed local group
Primoz Potocnik, Pablo Spiga, Gabriel Verret
Conjectures on the normal covering number of the finite symmetric and alternating groups
Daniela Bubboloni, Cheryl E. Praeger, Pablo Spiga
An overview on the bipartite divisor graph for the set of irreducible character degrees
Roghayeh Hafezieh, Pablo Spiga
Semiregular elements in cubic vertex-transitive graphs and the restricted Burnside problem
Pablo Spiga
A uniform upper bound for the character degree sums and Gelfand-Graev-like characters for finite simple groups
Pablo Spiga, Alexandre Zalesski
Bounds on the diameter of Cayley graphs of the symmetric group
John Bamberg, Nick Gill, Thomas Hayes +3
Cayley graphs on abelian groups
Edward Dobson, Pablo Spiga, Gabriel Verret