Flag-transitive 2-designs with the prime square replication number

被引：2
|
作者：
Shen, Jiaxin [1 ]
Zhou, Shenglin [1 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
来源：
DISCRETE MATHEMATICS | 2021年 / 344卷 / 02期
基金：
中国国家自然科学基金;
关键词：
2-design; Primitivity; Flag-transitivity; Automorphism group;
D O I：
10.1016/j.disc.2020.112225
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we show that if G is a flag-transitive automorphism group of a symmetric 2-design D with the prime square replication number, then G is point-primitive of affine or almost simple type. If D is a non-symmetric 2-design and G is a primitive group, then G is of affine, almost simple or product type with G <= HzS2 acting on P = Delta x Delta, where H is a primitive group on Delta. (c) 2020 Elsevier B.V. All rights reserved.
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页数：5
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