Flag-transitive primitive (v, k, λ) symmetric designs with λ at most 10 and alternating socle

被引：5

作者：

Dong, Huili ^{[1
,2
]}

Zhou, Shenglin ^{[1
]}

机构：

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

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Symmetric design; flag-transitive; primitive; alternating group; PERMUTATION-GROUPS;

D O I：

10.1142/S021949881450025X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a contribution to the investigation of flag-transitive primitive symmetric (v, k, lambda) designs with lambda at most 10. We prove that if D = (P, B) is a nontrivial symmetric (v, k, lambda) design, G <= Aut(D) is flag-transitive primitive with Soc(G) = A(n) for n >= 5, then D is the unique symmetric (35, 18, 9) design which is the complement of the symmetric (35, 17, 8) design.

引用

页数：10

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