Classification of Flag-Transitive Primitive Symmetric(v, k, λ) Designs with PSL(2, q) as Socle

被引：0

作者：

Delu TIAN ^{[1
,2
]}

Shenglin ZHOU ^{[2
]}

机构：

[1] Department of Mathematics, Guangdong University of Education

[2] School of Mathematics, South China University of Technology

来源：

JournalofMathematicalResearchwithApplications | 2016年 / 36卷 / 02期

基金：

中国国家自然科学基金;

关键词：

symmetric design; flag-transitive; primitive group;

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

Let D be a nontrivial symmetric(v, k, λ) design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G acts flag-transitively, pointprimitively on D and Soc(G) = PSL(2, q), then D has parameters(7, 3, 1),(7, 4, 2),(11, 5, 2),(11, 6, 3) or(15, 8, 4).

引用

页码：127 / 139

页数：13

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