Elusive groups of automorphisms of digraphs of small valency
Combinatorics
2014-12-10 v2 Group Theory
Abstract
A transitive permutation group is called elusive if it contains no semiregular element. We show that no group of automorphisms of a connected graph of valency at most four is elusive and determine all the elusive groups of automorphisms of connected digraphs of out-valency at most three.
Keywords
Cite
@article{arxiv.1405.1228,
title = {Elusive groups of automorphisms of digraphs of small valency},
author = {Michael Giudici and Luke Morgan and Primož Potočnik and Gabriel Verret},
journal= {arXiv preprint arXiv:1405.1228},
year = {2014}
}
Comments
To appear in the European Journal of Combinatorics