Flag-transitive 2-(υ, 5, λ) designs with sporadic socle

被引：1
|
作者：
Shen, Jiaxin [1 ]
Zhou, Shenglin [1 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2020年 / 15卷 / 06期
基金：
中国国家自然科学基金;
关键词：
2-design; primitivity; flag-transitivity; sporadic simple group; LINEAR-SPACES; REDUCTION;
D O I：
10.1007/s11464-020-0876-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We state that the flag-transitive automorphism group of a 2-(upsilon, 5, lambda) design D is primitive of affine type or almost simple type. We also find that there are up to isomorphism 20 2-(upsilon, 5, lambda) designs admitting flag-transitive automorphism groups with socle of a sporadic simple group.
引用
收藏
页码：1201 / 1210
页数：10
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