Baumslag-Solitar relations in abstract commensurators of free groups
Group Theory
2020-03-18 v2
Abstract
Any non-residually finite Baumslag-Solitar group has a non-residually finite image in the abstract commensuration of a nonabelian free group. This gives a new proof (avoiding Britton's Lemma) of the classification of residually finite Baumslag-Solitar groups.
Keywords
Cite
@article{arxiv.2003.06644,
title = {Baumslag-Solitar relations in abstract commensurators of free groups},
author = {Khalid Bou-Rabee and Samuel Young},
journal= {arXiv preprint arXiv:2003.06644},
year = {2020}
}
Comments
9 pages, corrected the main theorem and corollary statements. We mistakenly thought we were addressing whether the BS groups are Hopfian