二维典型群PSL(2,q)与旗传递2-(v,k,λ)设计Two Dimensional Classical Groups PSL (2,q) and Flag-transitive 2-(v,k,λ) Designs
王培;周胜林;
摘要(Abstract)：
旗传递性是附加在2-设计的自同构群上的重要条件之一。1988年,Zieschang证明了旗传递2-(v,k,λ)设计当(r,λ)=1时其自同构群G只能是仿射群或者几乎单群,故可以利用有限单群分类定理来分类此类设计。本文研究自同构群G是旗传递的且其基柱Soc(G)为单群PSL(2,q)的2-(v,k,λ)设计,解决了在限制条件(r,λ)=1且v≤1 000时此类设计的分类问题,共存在18个两两不同构的设计。
关键词(KeyWords)： 2-设计;旗传递;点本原;基柱;二维典型群
基金项目(Foundation): 国家自然科学基金(11471123)
作者(Authors): 王培;周胜林;
DOI: 10.16088/j.issn.1001-6600.2017.02.006
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