Flag-transitive point-primitive non-symmetric 2-(v, k, 2) designs with alternating socle

被引：10

作者：

Liang, Hongxue ^{[1
]}

Zhou, Shenglin ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2016年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

primitive group; flag-transitive; non-symmetric design; alternating socle;

D O I：

10.36045/bbms/1480993587

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if D is a non-trivial non-symmetric 2-(v, k, 2) design admitting a flag-transitive point-primitive automorphism group G with Soc(G) = A(n) for n >= 5, then D is a 2-(6, 3, 2) or 2-(10, 4, 2) design.

引用

页码：559 / 571

页数：13

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