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
DOI: 10.12677/PM.2021.112026, PDF,   
作者: 代 娟, 周胜林：华南理工大学数学学院，广东 广州
关键词: 对称设计；旗传递；区传递；自同构群；Symmetric Design； Flag-Transitive； Block-Transitive； Automorphism Groups
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。
Abstract: 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.
文章引用：代娟, 周胜林. 对称2-(15,8,4)设计的区传递自同构群[J]. 理论数学, 2021, 11(2): 186-191. https://doi.org/10.12677/PM.2021.112026

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