Flag-transitive non-symmetric 2-designs with (r, λ)=1 and sporadic socle

被引：0
|
作者：
Zhan, Xiaoqin [1 ]
Zhou, Shenglin [1 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2016年 / 81卷 / 03期
基金：
中国国家自然科学基金;
关键词：
2-Design; Flag-transitive; Socle; Sporadic simple group; SYMMETRIC DESIGNS; 2-(V;
D O I：
10.1007/s10623-015-0171-6
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 investigation of flag-transitive non-symmetric 2-designs. We prove that if 'D is a non-trivial non-symmetric 2-(v, k, X) design with (r, lambda) and G <= Au t (I)) is flag-transitive with sporadic socle, then D must be one of following: a 2-(12, 6, 5) design with G = M-11, or a 2-(22, 6, 5) design with G = M-22 or M-22 : 2.
引用
收藏
页码：481 / 487
页数：7
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