Sporadic groups and flag-transitive triplanes

被引：23
|
作者：
Zhou ShengLin [1 ]
Dong HuiLi [2 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Shantou Univ, Dept Math, Shantou 515063, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 02期
关键词：
triplane; symmetric design; flag-transitive; point-primitive; sporadic simple group; PRIMITIVE PERMUTATION-GROUPS; SYMMETRIC DESIGNS; MAXIMAL-SUBGROUPS; AUTOMORPHISM-GROUPS; BIPLANES; SOCLE;
D O I：
10.1007/s11425-009-0011-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let D be a triplane, i.e., a 2-(nu, k, 3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a sporadic simple group.
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页码：394 / 400
页数：7
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