On the norm of the lower central series in a finite group

被引：0
作者：
Gong, Lu [1 ]
Jing, Ziru [1 ]
Zhao, Libo [2 ]
Li, Baojun [1 ]
机构：
[1] Nantong Univ, Sch Math & Stat, Nantong 226019, Jiangsu, Peoples R China
[2] Guangdong Univ Educ, Coll Math, Guangzhou 510310, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
基金：
中国国家自然科学基金;
关键词：
Finite group; norm; nilpotent residual; lower central series; derived subgroup; NORMALIZERS; SUBGROUPS; RESIDUALS;
D O I：
10.1142/S0219498825502032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the norm L-i(G) of the lower central series in a finite group G is introduced, which unifies the norm of derived subgroups and nilpotent residuals. Some propositions of L-i(G) are obtained, and some related subgroups as well as their equivalent propositions can also be found.
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收藏
页数：13
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