Tubular groups and non positive curvature
Group Theory
2018-11-20 v2
Abstract
We show (using results of Wise and of Woodhouse) that a tubular group is always virtually special (meaning that it has a finite index subgroup embedding in a RAAG) if the underlying graph is a tree. We also adapt Gardam and Woodhouse's argument on tubular groups which double cover 1-relator groups to show there exist 1-relator groups which are CAT(0) but not residually finite.
Cite
@article{arxiv.1712.00290,
title = {Tubular groups and non positive curvature},
author = {J O Button},
journal= {arXiv preprint arXiv:1712.00290},
year = {2018}
}
Comments
Updated version, CAT(0) part shortened, some 1-relator material added