摘要
分类自同构群为射影辛群PSp_n(q)的区传递2-(v,k,1)设计,得到如下定理:设D为一个2-(v,k,1)设计,G≤Aut(D)是区传递,点本原但非旗传递的.若q为偶数且n≥14,则G(?) PSp_n(q).
This article is a contribution to the study of the automorphism groups of 2-(v, k, 1) designs. In particular, projective symplectic groups PSpn (q) are studied and the following theorem is proved:
Let D be a 2-(v, k, 1) design, G ≤ Aut(D) be block transitive, point primitive but not flat transitive, then G is not PSpn(q), with q even and n ≥ 14.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
2009年第1期111-120,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(10871205)
关键词
设计
自同构群
区传递
点本原
design
automorphism group
block transitive
point primitive