79 research outputs found

    On the order of arc-stabilisers in arc-transitive graphs with prescribed local group

    Full text link
    Let Ξ“\Gamma be a connected GG-arc-transitive graph, let uvuv be an arc of Ξ“\Gamma and let LL be the permutation group induced by the action of the vertex-stabiliser GvG_v on the neighbourhood Ξ“(v)\Gamma(v). We study the problem of bounding ∣Guv∣|G_{uv}| in terms of LL and the order of Ξ“\Gamma.Comment: 17 pages, 1 tabl
    • …
    corecore