Finite Stature in Artin groups
Group Theory
2026-02-04 v2 Geometric Topology
Abstract
We give criteria for a graph of groups to have finite stature with respect to its collection of vertex groups, in the sense of Huang-Wise. We apply it to the triangle Artin groups that were previously shown to split as a graph of groups. This allows us to deduce residual finiteness, and expands the list of Artin groups known to be residually finite.
Cite
@article{arxiv.2307.15209,
title = {Finite Stature in Artin groups},
author = {Kasia Jankiewicz},
journal= {arXiv preprint arXiv:2307.15209},
year = {2026}
}
Comments
v2: 27 pages, 17 figures. Substantial changes and corrections, version accepted for publication in Michigan Math Journal