Coen del Valle

activity

20162026

collaborators

Showing math.GRShow all

4 papers · 1 filter

math.GR2026

On the maximum relational complexity of affine groups

Coen del Valle, Nick Gill, Pablo Spiga

Let $G$ be a group of permutations of a set $Ω$ . The relational complexity $RC (G)$ is the least integer $r \geq 2$ such that the $G$ -orbit of every finite tuple is determin…

math.GR2026

The binary actions of sporadic groups

Coen del Valle, Nick Gill

An action of a group is binary if it induces the group of automorphisms of some homogeneous edge-coloured directed graph. In this paper we study the quasisimple groups $G$ with $G/…

math.GR2026

The Gill-Guillot commuting graph for sporadic and related groups

David A. Craven, Coen del Valle, Chris Parker

Let $G$ be a finite group and $C$ a normal subset of $G$ . The Gill-Guillot graph has vertex set $C$ with distinct $x, y \in C$ adjacent if and only if $…

math.GR2023

The base size of the symmetric group acting on subsets

Coen del Valle, Colva M. Roney-Dougal

A base for a permutation group $G$ acting on a set $Ω$ is a subset $B$ of $Ω$ such that the pointwise stabiliser $G_{(B)}$ is trivial. Let $n$ and $r$ be positi…