Let Γ be a connected G-arc-transitive graph, let uv be an arc of Γ and let L be the permutation group induced by the action of the vertexstabiliser Gνon the neighbourhood Γ(ν). We study the problem of bounding |Gu ν| in terms of L and the order of Γ
Potočnik, P., Spiga, P., Verret, G. (2014). On the order of arc-stabilisers in arc-transitive graphs with prescribed local group. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(7), 3729-3745 [10.1090/S0002-9947-2014-05992-8].
On the order of arc-stabilisers in arc-transitive graphs with prescribed local group
SPIGA, PABLOSecondo
;
2014
Abstract
Let Γ be a connected G-arc-transitive graph, let uv be an arc of Γ and let L be the permutation group induced by the action of the vertexstabiliser Gνon the neighbourhood Γ(ν). We study the problem of bounding |Gu ν| in terms of L and the order of Γ
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