Negative curvature in locally reducible Artin groups
Group Theory
2024-05-02 v1
Abstract
In this paper, we define the 2-complete Artin complex and show that it is systolic for locally reducible Artin groups. The stabilizers of simplices in this complex are exactly the proper parabolic subgroups which are "2-complete." We use this systolicity to show that parabolic subgroups, with 2-completions that are not the whole Artin group, are weakly malnormal. This allows us to conclude that many locally reducible Artin groups are acylindrically hyperbolic.
Keywords
Cite
@article{arxiv.2405.00173,
title = {Negative curvature in locally reducible Artin groups},
author = {Jill Mastrocola},
journal= {arXiv preprint arXiv:2405.00173},
year = {2024}
}