Quotients and subgroups of Baumslag-Solitar groups

被引：19
|
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).
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页码：1 / 43
页数：43
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