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：
Journal of Mathematical Research with Applications | 2016年 / 36卷 / 02期
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
收藏
页码：127 / 139
页数：13
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