4 papers
On -partite digraphical representations of finite groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
A group admits an \textbf{\em -partite digraphical representation} if there exists a regular -partite digraph such that the automorphism group of $Γ…
An overview on the bipartite divisor graph for the set of irreducible character degrees
Roghayeh Hafezieh, Pablo Spiga
Let be a finite group. The bipartite divisor graph for the set of irreducible complex character degrees is the undirected graph with vertex set consisting of the prime numbers…
An Erdős-Ko-Rado theorem for the derangement graph of PGL(3,q) acting on the projective plane
Karen Meagher, Pablo Spiga
In this paper we prove an Erdős-Ko-Rado-type theorem for intersecting sets of permutations. We show that an intersecting set of maximal size in the projective general linear group…
Bounds on the diameter of Cayley graphs of the symmetric group
John Bamberg, Nick Gill, Thomas Hayes +3
In this paper we are concerned with the conjecture that, for any set of generators S of the symmetric group of degree n, the word length in terms of S of every permutation is bound…