ON THE ORDER OF ARC-STABILISERS IN ARC-TRANSITIVE GRAPHS WITH PRESCRIBED LOCAL GROUP

被引：5

作者：

Potocnik, Primoz ^{[1
]}

Spiga, Pablo ^{[2
]}

Verret, Gabriel ^{[3
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

[2] Univ Milano Bicocca, Dept Matemat Pura & Applicata, I-20126 Milan, Italy

[3] Univ Primorska, Fac Math Nat Sci & Informat Technol, Koper 6000, Slovenia

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 366卷 / 07期

关键词：

Arc-transitive graphs; arc-stabiliser; graph-restrictive group; local group;

D O I：

10.1090/S0002-9947-2014-05992-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Gamma be a connected G-arc-transitive graph, let uv be an arc of G and let L be the permutation group induced by the action of the vertex-stabiliser Gv on the neighbourhood Gamma(v). We study the problem of bounding vertical bar G(uv)vertical bar in terms of L and the order of Gamma.

引用

页码：3729 / 3745

页数：17

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