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.

引用

页码：394 / 400

页数：7

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