Groups with Finiteness Conditions on the Lower Central Series of Subgroups

被引：2

作者：

Rinauro, Silvana ^{[1
]}

机构：

[1] Univ Basilicata, Dipartimento Matemat & Informat, I-85100 Potenza, Italy

来源：

ALGEBRA COLLOQUIUM | 2013年 / 20卷 / 04期

关键词：

locally graded groups; lower central series; finite-by-nilpotent groups;

D O I：

10.1142/S1005386713000631

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be a positive integer. Locally graded groups G for which one of the sets {gamma(k) (H)vertical bar H <= G} and {gamma(k)(H)vertical bar H <= G, H infinite} is finite are classified.

引用

页码：663 / 670

页数：8