南方科技大学知识苑(SUSTech KC): A NEW CRITERION FOR SOLVABILITY OF A FINITE GROUP BY THE SUM OF ORDERS OF NON-NORMAL SUBGROUPS

题名	A NEW CRITERION FOR SOLVABILITY OF A FINITE GROUP BY THE SUM OF ORDERS OF NON-NORMAL SUBGROUPS
作者	Cui, Liang 1; Meng, Wei 1,2; Lu, Jiakuan 3; Zheng, Weicheng 1
通讯作者	Cui, Liang
发表日期	2023-10-01
DOI	10.4064/cm9175-10-2023
发表期刊	COLLOQUIUM MATHEMATICUM 影响因子和分区
ISSN	0010-1354
EISSN	1730-6302
摘要	Let G be a finite group and nu(0)(G) = 1/vertical bar G vertical bar Sigma(H <= G), H((sic))G vertical bar H vertical bar. We prove that G is solvable if nu(0)(G) < 29/6.
关键词	solvable group non-normal subgroup subgroup order
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	National Natural Science Foundation of China["11861015","12161021"] ; Guangxi Natural Science Foundation Program["2020GXNSFAA238045","2021GXNSFAA 220117"] ; Innovation Project of GUET Graduate Education[2023YCXS112]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:001101222600001
出版者	ARS POLONA-RUCH
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/629177
专题	南方科技大学深圳国际数学中心（杰曼诺夫数学中心）（筹）
作者单位	1.Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541002, Peoples R China 2.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China 3.Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Peoples R China
推荐引用方式 GB/T 7714	Cui, Liang,Meng, Wei,Lu, Jiakuan,et al. A NEW CRITERION FOR SOLVABILITY OF A FINITE GROUP BY THE SUM OF ORDERS OF NON-NORMAL SUBGROUPS[J]. COLLOQUIUM MATHEMATICUM,2023.
APA	Cui, Liang,Meng, Wei,Lu, Jiakuan,&Zheng, Weicheng.(2023).A NEW CRITERION FOR SOLVABILITY OF A FINITE GROUP BY THE SUM OF ORDERS OF NON-NORMAL SUBGROUPS.COLLOQUIUM MATHEMATICUM.
MLA	Cui, Liang,et al."A NEW CRITERION FOR SOLVABILITY OF A FINITE GROUP BY THE SUM OF ORDERS OF NON-NORMAL SUBGROUPS".COLLOQUIUM MATHEMATICUM (2023).