FLAG-TRANSITIVE POINT-PRIMITIVE (v, k, λ)-SYMMETRIC DESIGNS WITH λ AT MOST 100 AND ALTERNATING SOCLE

被引：7

作者：

Zhu, Yan ^{[1
,2
]}

Tian, Delu ^{[3
]}

Zhou, Shenglin ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

[2] Xuzhou Med Univ, Sch Basic Educ Sci, Xuzhou 221004, Jiangsu, Peoples R China

[3] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 05期

基金：

中国国家自然科学基金;

关键词：

symmetric design; automorphism; flag-transitive; point-primitive; alternating group; SYMMETRIC DESIGNS; PERMUTATION-GROUPS; SPORADIC SOCLE; SUBGROUPS; 2-(V;

D O I：

10.1515/ms-2016-0201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a nontrivial (v, k, lambda)-symmetric design with 11 <= lambda <= 100, and G <= Aut(D) be flag-transitive and point-primitive. In this paper we prove that the socle of G cannot be an alternating group. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：1037 / 1046

页数：10

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