Affine groups and flag-transitive triplanes  

作　　者：DONG HuiLi ZHOU ShengLi 

机构地区：[1]Department of Mathematics, South China University of Technology, Guangzhou 510640, China

出　　处：《Science China Mathematics》2012年第12期2557-2578,共22页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11071081)

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≤AΓL1(q), where q is some power of a prime p and p≥5.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≤AΓL1（q）, where q is some power of a prime p and p≥5.

关 键 词：symmetric design triplane FLAG-TRANSITIVE point-primitive affine group 

分 类 号：O157.2[理学—数学] V267[理学—基础数学]