On Classes of Groups of Finite Metabelian Rank

被引：0

作者：

Dashkova O.Y. ^{[1
]}

机构：

[1] Lomonosov MSU Branch in Sevastopol’, Sevastopol’

来源：

Siberian Advances in Mathematics | 2020年 / 30卷 / 3期

关键词：

locally finite group; locally nilpotent-by-finite group; metabelian subgroup; special rank of a group;

D O I：

10.3103/S1055134420030049

中图分类号：

学科分类号：

摘要：

Abstract: We introduce the notion of the metabelian rank of a group and study non-Abelian groupsof finite metabelian rank. We prove the following result: If G is the extension of a locally finite group bya locally nilpotent-by-finite group and the metabelian rank of G is finite then the special rank of G is finite too. © 2020, Allerton Press, Inc.

引用

页码：192 / 199

页数：7

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