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

被引：3

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.

引用

页数：5

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