Author

Coen del Valle

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Preprint Sep 2026

The binary actions of sporadic groups

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 $G/Z(G)$ a sporadic simple group---we produce a complete classification of their binary actions.

Coen del Valle, Nick Gill · 1 citation · ⚡1

Jul 2026

Constructing linear codes from digraphs and groups

This paper investigates both the algebraic, and combinatorial properties of these constructions of graph codes and digraph codes and shows that they possess the same desirable attributes as Cayley codes, but with added freedom.

Coen del Valle, C. Praeger · arXiv.org · 0 citations