Flag-transitive non-symmetric 2-designs with (r, λ)=1 and exceptional groups of Lie type

被引：6

作者：

Zhang, Yongli ^{[1
]}

Zhou, Shenglin ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2020年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

MAXIMAL-SUBGROUPS; SYMMETRIC DESIGNS; FINITE; RANK; 2-(V;

D O I：

10.37236/8832

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper determines all pairs (D,G) where D is a non-symmetric 2-(v, k, lambda) design with (r, lambda) = 1 and G is the almost simple flag-transitive automorphism group of D with an exceptional socle of Lie type. We prove that if T (sic) G <= Aut(T) where T is an exceptional group of Lie type, then T must be the Ree group or Suzuki group, and there are five classes of designs D.

引用

页数：16

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