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.
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页码：192 / 199
页数：7
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