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.
引用
收藏
页码：351 / 360
页数：10
相关论文
共 50 条
  • [21] Flag-transitive 2-(v, k, λ) symmetric designs with λ ≥ (k , λ)2 and alternating socle
    Wang, Yajie
    Zhou, Shenglin
    DISCRETE MATHEMATICS, 2020, 343 (09)
  • [22] A note on flag-transitive automorphism groups of 2-designs with λ ≥ (r, λ)2
    Zhang, Zhilin
    Liang, Hongxue
    Zhou, Shenglin
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2023, 34 (01) : 17 - 31
  • [23] Flag-transitive automorphism groups of 2-designs with λ ≥ (r, λ)2 and an application to symmetric designs
    Zhou, Shenglin
    Zhan, Xiaoqin
    ARS MATHEMATICA CONTEMPORANEA, 2018, 14 (01) : 187 - 195
  • [24] Flag-transitive 2-(v, k, λ) symmetric designs with (k, λ)=1 and alternating socle
    Zhu, Yan
    Guan, Haiyan
    Zhou, Shenglin
    FRONTIERS OF MATHEMATICS IN CHINA, 2015, 10 (06) : 1483 - 1496
  • [25] Flag-transitive symmetric (v, k, λ) designs admitting primitive automorphism groups with socle PSL(12,2)
    Tian, Delu
    Zhou, Shenglin
    ARS COMBINATORIA, 2016, 126 : 157 - 163
  • [26] Flag-transitive 2-(v, k, λ) designs with r > λ(k-3)
    Zhao, Yanwei
    Zhou, Shenglin
    DESIGNS CODES AND CRYPTOGRAPHY, 2022, 90 (04) : 863 - 869
  • [27] Flag-transitive 2-(v, k, λ) symmetric designs with (k, λ) = 1 and alternating socle
    Yan Zhu
    Haiyan Guan
    Shenglin Zhou
    Frontiers of Mathematics in China, 2015, 10 : 1483 - 1496
  • [28] Reduction for primitive flag-transitive nonsymmetric 2-(v, k, 4) designs
    Zhang, Yongli
    Zhang, Zhilin
    Zhou, Shenglin
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (12)
  • [29] Flag-transitive 5-(v, k, 2) designs
    Liu W.
    Tan Q.
    Gong L.
    Jiangsu Daxue Xuebao (Ziran Kexue Ban)/Journal of Jiangsu University (Natural Science Edition), 2010, 31 (05): : 612 - 615
  • [30] On symmetric designs with flag-transitive and point-quasiprimitive automorphism groups
    Zhang, Zhilin
    Chen, Jianfu
    Zhou, Shenglin
    JOURNAL OF COMBINATORIAL DESIGNS, 2024, 32 (03) : 107 - 126
12345