Quotients and subgroups of Baumslag-Solitar groups

被引：20

作者：

Levitt, Gilbert ^{[1
,2
]}

机构：

[1] Univ Caen, Lab Math Nicolas Oresme, F-14032 Caen, France

[2] CNRS, UMR 6139, F-14032 Caen, France

来源：

JOURNAL OF GROUP THEORY | 2015年 / 18卷 / 01期

关键词：

GRAPHS; TREES;

D O I：

10.1515/jgth-2014-0028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine all generalized Baumslag-Solitar groups (finitely generated groups acting on a tree with all stabilizers infinite cyclic) which are quotients of a given Baumslag-Solitar group BS(m; n), and (when BS(m; n) is not Hopfian) which of them also admit BS(m; n) as a quotient. We determine for which values of r, s one may embed BS(r; s) into a given BS(m; n), and we characterize finitely generated groups which embed into some BS(n; n).

引用

页码：1 / 43

页数：43

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