On groups with all subgroups normal-by-(finite rank)

被引：2

作者：

Smith, H ^{[1
]}

机构：

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

来源：

JOURNAL OF GROUP THEORY | 2004年 / 7卷 / 02期

关键词：

D O I：

10.1515/jgth.2004.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a locally soluble-by-finite group in which H/H-G has finite (Prufer) rank for all subgroups H of G, where H-G denotes the normal core of H in G. It is proved that G has an abelian normal subgroup A such that G/A has finite rank, that there is an integer r such that H/H-G has rank at most r for all H, and that the rank of G/A is bounded in terms of r. Similar results hold for related classes of groups G.

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页码：231 / 242

页数：12

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