Work

Characterising large‐type Artin groups

Year: 2024

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13136

Authors: Alexandre Martin, Nicolas Vaskou

Institutions: Heriot-Watt University, Maxwell Institute for Mathematical Sciences, University of Bristol

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4401974151

FWCI: 1.346

Cites: 12

Cited by: 2

Related to: 10