Sporadic finite simple groups and block designs

被引：0

作者：

Zhang, Xiaohong ^{[1
]}

Zhou, Shenglin ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2018年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

2-design; block-transitive; point-primitive; automorphism group; socle; sporadic simple group; TRANSITIVE AUTOMORPHISM-GROUPS; BIPLANES; 2-(V;

D O I：

10.36045/bbms/1546570905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to classify all pairs (D, G), where D is a non-trivial 2-(upsilon, k, lambda) design with lambda <= 10, and G <= Aut(D) acts transitively on the set of blocks of D and primitively on the set of points of D with sporadic socle. We prove that there are exactly 15 such pairs (D, G).

引用

页码：495 / 506

页数：12

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