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ON THE ORDER OF ARC-STABILISERS IN ARC-TRANSITIVE GRAPHS, II
Published online by Cambridge University Press: 02 August 2012
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 four, 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.
MSC classification
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- Research Article
- Information
- Copyright
- Copyright © 2012 Australian Mathematical Publishing Association Inc.
References
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