Alternating groups and flag-transitive triplanes

被引：32
|
作者：
Zhou, Shenglin [1 ]
Dong, Huili [1 ]
机构：
[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2010年 / 57卷 / 02期
基金：
高等学校博士学科点专项科研基金;
关键词：
Symmetric design; Triplane; Flag-transitive; Point-primitive; Alternating group; Projective space;
D O I：
10.1007/s10623-009-9355-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let D be a nontrivial triplane, and G be a subgroup of the full automorphism group of D. In this paper we prove that if D is a triplane, G <= Aut (D) is flag-transitive, point-primitive and Soc(G) is an alternating group, then D is the projective space PG(2)(3, 2), and G congruent to Lambda(7) with the point stabiliser G(x) congruent to PSL3(2).
引用
收藏
页码：117 / 126
页数：10
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