The $K(\pi,1)$-conjecture implies the center conjecture for Artin groups
Group Theory
2022-01-19 v1
Abstract
In this note, we prove that the -conjecture for Artin groups implies the center conjecture for Artin groups. Specifically, every Artin group without a spherical factor that satisfies the -conjecture has a trivial center.
Cite
@article{arxiv.2201.06591,
title = {The $K(\pi,1)$-conjecture implies the center conjecture for Artin groups},
author = {Kasia Jankiewicz and Kevin Schreve},
journal= {arXiv preprint arXiv:2201.06591},
year = {2022}
}
Comments
7 pages, 2 figures. Comments are welcome!