对称2-(15,8,4)设计的区传递自同构群  

Block-Transitive Automorphism Groups of Symmetric 2-(15,8,4) Designs

作　　者：代娟 周胜林 

机构地区：[1]华南理工大学数学学院,广东 广州

出　　处：《理论数学》2021年第2期186-191,共6页Pure Mathematics

摘　　要：本文研究2-(15,8,4)对称设计的区传递自同构群,证明了2-(15,8,4)对称设计的区传递自同构群有9个,旗传递自同构群有6个。同时也给出了该设计的点本原,非点本原,旗传递点本原,旗传递非点本原的自同构群。Let D be a symmetric 2-(15,8,4)design and let G≤Aut(D) be block-transitive. It is proved that, there are exactly such 9 automorphism groups of block-transitive and 6 automorphism groups of flag-transitive. And it also gives the point-primitive, point-imprimitive, flag-transitive point-primitive and flag-transitive point-imprimitive automorphism groups of this design.

关 键 词：对称设计 旗传递 区传递 自同构群 

分 类 号：O15[理学—数学]