Non-symmetric 2-designs admitting a two-dimensional projective linear group

被引：15
|
作者：
Zhan, Xiaoqin [1 ]
Zhou, Shenglin [2 ]
机构：
[1] East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2018年 / 86卷 / 12期
基金：
中国国家自然科学基金;
关键词：
2-Design; Non-symmetric; Automorphism; Flag-transitive; Projective linear group; SYMMETRIC DESIGNS; FLAG; LAMBDA)=1; SPACES;
D O I：
10.1007/s10623-018-0474-5
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper is a contribution to the study of non-symmetric 2-designs admitting a flag-transitive automorphism group. We prove that if D is a non-trivial non-symmetric 2-(v, k,.) design with (r,.) = 1 and G = PSL(2, q) acts flag-transitively on D, then up to isomorphism D is a unique Witt-Bose-Shrikhande space, a unique 2-(6, 3, 2) design, a unique 2-(8, 4, 3) design, a unique 2-(10, 6, 5) design, or a unique 2-(28, 7, 2) design.
引用
收藏
页码：2765 / 2773
页数：9
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