Coen del Valle

activity

20162026

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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/…

cs.IT2026

Constructing linear codes from digraphs and groups

Coen del Valle, Cheryl E. Praeger

In 2012, Kaufman and Lubotzky constructed the first family of symmetric LDPC good codes. Their construction used Cayley codes, as originally defined by Kaufman and Wigderson (2016)…

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 $…