Alternating groups and flag-transitive non-symmetric 2-(ν, k, λ) designs with λ ≥ (r, λ)2

被引：1
|
作者：
Wang, Yajie [1 ]
Shen, Jiaxin [2 ]
Zhou, Shenglin [3 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China
[2] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China
[3] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
DISCRETE MATHEMATICS | 2022年 / 345卷 / 02期
基金：
中国国家自然科学基金;
关键词：
2-Design; Automorphism group; Flag-transitive; Alternating group; SYMMETRIC DESIGNS; CLASSIFICATION; 2-DESIGNS; SUBGROUPS; (K;
D O I：
10.1016/j.disc.2021.112703
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, all non-symmetric 2 (nu, k, lambda) designs with lambda >= (r, lambda)(2) are classified which admit a flag-transitive group of automorphisms with an alternating socle. Up to isomorphism, our classification shows exactly 20 such designs, and, for each of these designs, we explicitly determine the corresponding flag-transitive automorphism groups. (C) 2021 Elsevier B.V. All rights reserved.
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页数：9
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