Flag-transitive 2-(v, k, ?) designs with ? prime and alternating socle

被引：1

作者：

Zhang, Yongli ^{[1
]}

Chen, Jianfu ^{[2
]}

Zhou, Shenglin ^{[3
]}

机构：

[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Peoples R China

[2] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

2-Design; flag-transitivity; primitivity; LINEAR-SPACES;

D O I：

10.1142/S0219498824500804

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a contribution to the classification of 2-designs admitting a flag-transitive automorphism group. Let D be a 2-(v, k, lambda) design with lambda prime and G be a flag-transitive, point-primitive automorphism group of D. We prove that if the socle of G is an alternating group, then D has parameters (v, k, lambda) = (15, 7, 3), (6,3, 2), (10, 6,5) or (10, 4, 2).

引用

页数：14

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