Characterising large-type Artin groups
Group Theory
2023-05-11 v1
Abstract
We show that the class of large-type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by providing a purely algebraic characterisation of large-type Artin groups (i.e. independent of the presentation graph). As a corollary, we completely describe the Artin groups isomorphic to a given large-type Artin group, and characterise those large-type Artin groups that are rigid.
Cite
@article{arxiv.2305.05702,
title = {Characterising large-type Artin groups},
author = {Alexandre Martin and Nicolas Vaskou},
journal= {arXiv preprint arXiv:2305.05702},
year = {2023}
}
Comments
10 pages