首页|3-(v,7,λ)设计上的区传递自同构群

3-(v,7,λ)设计上的区传递自同构群

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
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.
Block-transitive Automorphism Groups of 3-(v,7,λ)Designs
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.

Automorphism groupBlock-transitive3-design

陈诗涵、代少军、赵坤

展开 >

天津工业大学数学科学学院,天津,300387

佳木斯大学理学院,佳木斯,154007

自同构群 区传递 3-设计

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaHunan Provincial Natural Science FoundationScientific Research Fund of Heilongjiang Provincial Education DepartmentCollege Students'Innovation and Entrepreneurship Training Program(schoollevel project)

12371335120714842020JJ467522KYYWF0594202310058177

2024

10.3969/j.issn.1006-8074.2024.02.006

数学理论与应用
湖南省数学学会

数学理论与应用

影响因子：0.281
ISSN：1006-8074
年,卷(期)：2024.44(2)