摘要
对可解区传递但非点本原的2-(v,11,1)设计进行了分类,利用v与Delandsheer-Doyen参数的关系,以及一般线性空间的点数v,线长k与过某个点x的k长线的数目rkx三者之间的关系,证明了若D是一个可解区传递但非点本原的2-(v,11,1)设计,则D是一个2-(1 431,11,1)设计。
In this paper, 2- （v, 11,1） designs with a sovable block-transitive automorphism group are classified. It is proved that if D is a solvable block-transitive 2-（v, 11,1） designs,then D is a 2-（1 431,11, 1） design by the relations between v and Delandsheer-Doyen parameters,as well as among the number of points v,the length of lines k and the number of lines which through some point x,and length is k,in general linear space.
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2008年第3期21-25,共5页
Journal of Guangxi Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(10471152)
关键词
区传递
自同构群
设计
block-transitive
automorphism group
design
