Quotients and subgroups of Baumslag-Solitar groups
Group Theory
2019-06-07 v2 Geometric Topology
Abstract
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).
Keywords
Cite
@article{arxiv.1308.5122,
title = {Quotients and subgroups of Baumslag-Solitar groups},
author = {Gilbert Levitt},
journal= {arXiv preprint arXiv:1308.5122},
year = {2019}
}
Comments
Final version, to appear in Journal of Group Theory