南方科技大学知识苑(SUSTech KC): Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups

题名	Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
作者	Li，Cai Heng1 ; Xia，Binzhou 2
发表日期	2022
DOI	10.1090/MEMO/1375
发表期刊	MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 影响因子和分区
ISSN	0065-9266
EISSN	1947-6221
卷号	279 期号:1375
摘要	A characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these nontrivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary that, except for cycles, a non-bipartite connected 3-arc-transitive Cayley graph of a finite solvable group is necessarily a normal cover of the Petersen graph or the Hoffman-Singleton graph.
关键词	almost simple groups factorizations s-arc-transitive graphs solvable groups
相关链接	[Scopus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[11501011];National Natural Science Foundation of China[11771200];National Natural Science Foundation of China[11931005];
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000950521900001
出版者	AMER MATHEMATICAL SOC
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85137110016
来源库	Scopus
引用统计	被引频次[WOS]：6
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/401667
专题	理学院_数学系深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.SUSTech International Center for Mathematics,The Department of Mathematics,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China 2.The School of Mathematics and Statistics,The University of Melbourne,Parkville,3010,Australia
第一作者单位	数学系; 深圳国际数学中心（杰曼诺夫数学中心）（筹）
第一作者的第一单位	数学系; 深圳国际数学中心（杰曼诺夫数学中心）（筹）
推荐引用方式 GB/T 7714	Li，Cai Heng,Xia，Binzhou. Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,2022,279(1375).
APA	Li，Cai Heng,&Xia，Binzhou.(2022).Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY,279(1375).
MLA	Li，Cai Heng,et al."Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups".MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 279.1375(2022).