Large-type Artin groups are systolic
Group Theory
2019-08-14 v2
Abstract
We prove that Artin groups from a class containing all large-type Artin groups are systolic. This provides a concise yet precise description of their geometry. Immediate consequences are new results concerning large-type Artin groups: biautomaticity; existence of -boundaries; the Novikov conjecture; descriptions of finitely presented subgroups, of virtually solvable subgroups, and of centralizers for infinite order elements; the Burghelea conjecture; existence of low-dimensional models for classifying spaces for some families of subgroups.
Cite
@article{arxiv.1706.05473,
title = {Large-type Artin groups are systolic},
author = {Jingyin Huang and Damian Osajda},
journal= {arXiv preprint arXiv:1706.05473},
year = {2019}
}
Comments
final preprint version, to appear in Proc. Lond. Math. Soc