Locally nilpotent groups with all subgroups normal-by-(finite rank)

被引：0

作者：

Longobardi, P ^{[1
]}

Maj, M ^{[1
]}

Smith, H ^{[1
]}

机构：

[1] Univ Naples, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

JOURNAL OF GROUP THEORY | 1998年 / 1卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a locally nilpotent group in which H/Core(G)H has finite rank for all subgroups H. If G is torsion-free then G/Z(G) has finite rank. In general G has an abelian normal subgroup A with G/A of finite rank, and H/Core(G)H has bounded rank for all H. Further results are obtained in the case where H/Core(G)H has rank at most t (a fixed positive integer) for all subgroups H.

引用

页码：291 / 299

页数：9

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