The root class residuality of Baumslag-Solitar groups

被引：11

作者：

Tumanova, E. A. ^{[1
]}

机构：

[1] Ivanovo State Univ, Ivanovo, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 03期

关键词：

root class residuality; residual solubility; residual pi-finiteness; Baumslag-Solitar groups; HNN-extension; ONE-RELATOR GROUPS; SUBGROUPS;

D O I：

10.1134/S003744661703017X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a homomorphically closed root class K of groups, we find a criterion for a Baumslag-Solitar group to be a residually K-group. In particular, we establish that all Baumslag-Solitar groups are residually soluble and a Baumslag-Solitar group is residually finite soluble if and only if it is residually finite.

引用

页码：546 / 552

页数：7

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