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On the Order of Arc-stabilisers in Arc-transitive Graphs with Prescribed Local Group by Potocnik, Primoz; Spiga, Pablo; Verret, Gabriel is a scholarly article available to read on EtoBox.

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Let $\Gamma$ be a connected $G$-arc-transitive graph, let $uv$ be an arc of $\Gamma$ and let $L$ be the permutation group induced by the action of the vertex-stabiliser $G_v$ on the neighbourhood $\Gamma(v)$. We study the problem of bounding $|G_{uv}|$ in terms of $L$ and the order of $\Gamma$.

Author

Potocnik, Primoz; Spiga, Pablo; Verret, Gabriel

Published

2012

Language

EN