3 papers
math.CO2026
Symmetries of regular -graphs
Daniel R Hawtin, Padraig à Catháin
Given a finite vector space , the -analogue of a graph, called a -graph, is a pair , where is the set of -dim…
math.GR2025
Linear dimension of group actions
Alice Devillers, Michael Giudici, Daniel R. Hawtin +2
Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation represent…
math.CO2024
Alphabet-affine 2-neighbour-transitive codes
Daniel R. Hawtin
A code is a subset of the vertex set of a Hamming graph , and is -neighbour-transitive if the automorphism group $G={\rm Aut}({\mathcal C})…