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).
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页码：495 / 506
页数：12
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