Locally s-arc-transitive graphs related to sporadic simple groups

被引：12
|
作者：
Leemans, Dimitri [1 ]
机构：
[1] Univ Libre Bruxelles, Dept Math, Serv Geometrie, B-1050 Brussels, Belgium
来源：
JOURNAL OF ALGEBRA | 2009年 / 322卷 / 03期
关键词：
Sporadic groups; Locally s-arc-transitive graphs; FINITE; GEOMETRIES;
D O I：
10.1016/j.jalgebra.2009.05.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that, tip to isomorphism, there are ten connected locally (M(11).2)-arc-transitive graphs. We compute, up to conjugacy, the connected locally (G, s)-arc-transitive graphs for G = M(11), M(12), M(22), M(23), M(24), J(1), J(2), J(3), HS, McL, He, Ru, Suz, Co(3), and we obtain a partial classification for O'N. The classification provides locally (G, 7)-and (G, 9)-arc-transitive graphs for He and Ru, and locally (G, 7)-arc-transitive graphs for J(3) and O'N. We also obtain new cubic 5-arc-transitive graphs for He and Ru. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：882 / 892
页数：11
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