A strong form of residual finiteness for groups

被引：3

作者：

Corson, Jon M. ^{[1
]}

Ratkovich, Thomas J.

机构：

[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

[2] Univ W Alabama, Dept Math, Livingston, AL 35470 USA

来源：

JOURNAL OF GROUP THEORY | 2006年 / 9卷 / 04期

关键词：

D O I：

10.1515/JGT.2006.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In general the extension of a residually finite group by a residually finite group may not be residually finite. We define a strong form of residual finiteness for groups and show that the property is closed under extensions. We then show how groups with this property can be constructed using amalgamated free products and HNN extensions. This leads to a multitude of examples.

引用

页码：497 / 505

页数：9

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