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.

引用

页数：13

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