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
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页码：1037 / 1046
页数：10
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