On the order of arc-stabilisers in arc-transitive graphs, II

Authors

  • Gabriel Verret University of Primorska

Keywords:

arc-transitive graphs, graph-restrictive group, local action

Abstract

Let $\Gamma$ be a $G$-vertex-transitive graph and let $(u,v)$ be an arc of $\Gamma$. It is known that if the local action $G_v^{\Gamma(v)}$ (the permutation group induced by $G_v$ on $\Gamma(v)$) is permutation isomorphic to the dihedral group of degree $4$, then either $|G_{uv}|$ is ``small" with respect to the order of $\Gamma$ or $\Gamma$ is one of a family of well understood graphs. In this paper, we generalise this result to a wider class of local actions. 10.1017/S0004972712000470

Published

2013-04-29

Issue

Vol. 87 No. 3 (2013)

Section

Articles
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