南方科技大学知识苑(SUSTech KC): p Reduction for flag-transitive symmetric designs with k

题名	p Reduction for flag-transitive symmetric designs with k > & lambda;(& lambda;-2)
作者	Chen, Jianfu1 ; Shen, Jiaxin 2; Zhou, Shenglin 3
通讯作者	Shen, Jiaxin
发表日期	2023-10-01
DOI	10.1016/j.disc.2023.113557
发表期刊	DISCRETE MATHEMATICS 影响因子和分区
ISSN	0012-365X
EISSN	1872-681X
卷号	346 期号:10
摘要	Let G be a flag-transitive automorphism group of a symmetric (v, k, & lambda;) design D with k > & lambda;(& lambda; -2). O'Reilly Regueiro proved that if G is point-imprimitive, then D has parameters (v, k, & lambda;) = (& lambda;2(& lambda; + 2), & lambda;(& lambda; + 1), & lambda;). In the present paper, we consider the case that G is point-primitive. By applying the O'Nan-Scott Theorem, we prove that G must be of affine type or almost simple type.& COPY; 2023 Elsevier B.V. All rights reserved.
关键词	Available online xxxx Symmetric design Flag-transitive Automorphism group Primitive
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一
资助项目	National Natural Science Foundation of China["12201469","12271173"]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001025144300001
出版者	ELSEVIER
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：1
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/549350
专题	理学院_数学系
作者单位	1.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 2.Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China 3.South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
第一作者单位	数学系
第一作者的第一单位	数学系
推荐引用方式 GB/T 7714	Chen, Jianfu,Shen, Jiaxin,Zhou, Shenglin. p Reduction for flag-transitive symmetric designs with k > & lambda;(& lambda;-2)[J]. DISCRETE MATHEMATICS,2023,346(10).
APA	Chen, Jianfu,Shen, Jiaxin,&Zhou, Shenglin.(2023).p Reduction for flag-transitive symmetric designs with k > & lambda;(& lambda;-2).DISCRETE MATHEMATICS,346(10).
MLA	Chen, Jianfu,et al."p Reduction for flag-transitive symmetric designs with k > & lambda;(& lambda;-2)".DISCRETE MATHEMATICS 346.10(2023).