论有限群中的下中心数列的规范

Pub Date : 2024-02-20 DOI:10.1142/s0219498825502032
Lü Gong, Ziru Jing, Libo Zhao, Baojun Li
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引用次数: 0

摘要

本文介绍了有限群 G 中下中心数列的规范 Li(G),它统一了导出子群和无穷残差的规范。本文得到了 Li(G) 的一些命题,还找到了一些相关子群及其等价命题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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On the norm of the lower central series in a finite group

In this paper, the norm Li(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 Li(G) are obtained, and some related subgroups as well as their equivalent propositions can also be found.

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