On groups with a finite nilpotent upper central quotient

被引：16

作者：

Ellis, G ^{[1
]}

机构：

[1] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

ARCHIV DER MATHEMATIK | 1998年 / 70卷 / 02期

关键词：

Direct Product; Central Series; Lower Central Series; Central Quotient;

D O I：

10.1007/s000130050169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a bound on the order of the term gamma(c+1)G in the lower central series of a group G whose upper central quotient G/Z(c)G is nilpotent and finite of known order. Our method involves an analysis of certain Baer invariants of a direct product of groups.

引用

页码：89 / 96

页数：8

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