Groups with all subgroups normal-by-finite

被引：46

作者：

Buckley, JT

Lennox, JC

Neumann, BH

Smith, H

Wiegold, J

机构：

[1] AUSTRALIAN NATL UNIV,SCH MAT SCI,CANBERRA,ACT,AUSTRALIA

[2] UNIV WALES COLL CARDIFF,SCH MATH,CARDIFF CF1 1XL,S GLAM,WALES

[3] BUCKNELL UNIV,DEPT MATH,LEWISBURG,PA 17837

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1995年 / 59卷

关键词：

D O I：

10.1017/S1446788700037289

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group G has all of its subgroups normal-by-finite if H/core(G)(H) is finite for all subgroups H of G. These groups can be quite complicated in general, as is seen from the so-called Tarski groups. However, the locally finite groups of this type are shown to be abelian-by-finite; and they are then boundedly core-finite, that is to say, there is a bound depending on G only for the indices \H : core(G)(H)\.

引用

页码：384 / 398

页数：15

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