Flag-transitive 2-(v, k, λ) symmetric designs with (k, λ)=1 and alternating socle

被引：20

作者：

Zhu, Yan ^{[1
]}

Guan, Haiyan ^{[2
]}

Zhou, Shenglin ^{[1
]}

机构：

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

[2] China Three Gorges Univ, Dept Math, Yichang 443002, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2015年 / 10卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Symmetric design; automorphism group; alternating group; flag-transitive; PRIMITIVE PERMUTATION-GROUPS; AUTOMORPHISM-GROUPS; SPORADIC SOCLE; ODD DEGREE;

D O I：

10.1007/s11464-015-0480-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the flag-transitive 2-(v, k, lambda) symmetric designs with (k, lambda) = 1.We prove that if D is a nontrivial 2-(v, k, lambda) symmetric design with (k, lambda) = 1 and G a parts per thousand currency sign Aut(D) is flag-transitive with Soc(G) = A (n) for n a parts per thousand yen 5, then D is the projective space PG (2)(3, 2) and G = A (7).

引用

页码：1483 / 1496

页数：14

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