3-(v,7,λ)设计上的区传递自同构群
Block-transitive Automorphism Groups of 3-(v,7,λ)Designs
陈诗涵 1代少军 1赵坤2
作者信息
- 1. 天津工业大学数学科学学院,天津,300387
- 2. 佳木斯大学理学院,佳木斯,154007
- 折叠
摘要
设S=(P,B)是一个非平凡的3-(v,7,λ)设计且满足λ ≥ 2.本文证明:如果G是S上的一个区传递自同构群,则G是仿射型或者几乎单型的点本原群.此外,我们还考虑G的基柱为交错群An的一种有限几乎单群的情形.
Abstract
Let S=(P,B)be a nontrivial 3-(v,7,λ)design with λ ≥ 2.In this paper we show that if G is a block-transitive automorphism group of S,then G is point-primitive of affine or almost simple type.In addition,the case that G is a finite almost simple group with an alternating group socle An is considered as well.
关键词
自同构群/区传递/3-设计Key words
Automorphism group/Block-transitive/3-design引用本文复制引用
基金项目
National Natural Science Foundation of China(12371335)
National Natural Science Foundation of China(12071484)
Hunan Provincial Natural Science Foundation(2020JJ4675)
Scientific Research Fund of Heilongjiang Provincial Education Department(22KYYWF0594)
College Students'Innovation and Entrepreneurship Training Program(schoollevel project)(202310058177)
出版年
2024
NETL
NSTL
万方数据