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
收藏
页码：3729 / 3745
页数：17
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