On 2-(v, k, λ) Designs with Flag-Transitive Automorphism Groups of Product Action Type

被引：3
|
作者：
Zhang, Zhilin [1 ]
Zhou, Shenglin [2 ]
机构：
[1] South China Normal Univ, Sch Math Sci, Guangzhou 510640, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2023年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
flag-transitive; 2-(v; k; lambda); design; O'Nan-Scott theorem; product action type; FINITE LINEAR-SPACES;
D O I：
10.1142/S1005386723000299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present two new families of 2-(v, k, lambda) designs with a flag-transitive and point-primitive automorphism group of product action type. More surprisingly, one of them is still a family of 2-(v, k, lambda) designs with a flag-transitive and point-imprimitive automorphism group.
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页码：351 / 360
页数：10
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