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On Classes of Groups of Finite Metabelian Rank
Siberian Advances in Mathematics Pub Date : 2020-08-17 , DOI: 10.3103/s1055134420030049
O. Yu. Dashkova

Abstract

We introduce the notion of the metabelian rank of a group and study non-Abelian groups of finite metabelian rank. We prove the following result: If \(G \) is the extension of a locally finite group by a locally nilpotent-by-finite group and the metabelian rank of \(G \) is finite then the special rank of \(G \) is finite too.


中文翻译:

有限阶变位阶的群类

摘要

我们介绍了一个组的metabelian级的概念,并研究了有限metabelian级的非阿贝尔组。我们证明以下结果:如果\(G \)是一个局部有限群的一个局部乘幂乘群,并且\(G \)的变位阶是有限的,那么\(G \ )也是有限的。
更新日期:2020-08-17
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