Affine groups and flag-transitive triplanes

被引：10

作者：

Dong HuiLi ^{[1
]}

Zhou ShengLin ^{[1
]}

机构：

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

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 12期

基金：

中国国家自然科学基金;

关键词：

symmetric design; triplane; flag-transitive; point-primitive; affine group; FINITE LINEAR-SPACES; PROJECTIVE-REPRESENTATIONS; PERMUTATION-GROUPS; CLASSIFICATION;

D O I：

10.1007/s11425-012-4476-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G <= Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G <= A Gamma L-1(q), where q is some power of a prime p and p >= 5.

引用

页码：2557 / 2578

页数：22

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