Work

Spherical and affine Artin groups, finite quotients, and the isomorphism problem

Year: 2026

Type: preprint

Abstract: We compute the smallest non-abelian quotients of spherical and affine Artin groups. Usually, these are isomorphic to the smallest non-abelian quotients of the corresponding Coxeter groups. As applications, we deduce that two affine Artin groups are isomorphic if and only if their Coxeter diagrams are isomorphic and that irreducible spherical Artin groups are distinguished from each other by their finite quotient groups.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.27171

Authors: Hughes, Sam, Ng, Thomas, Ragosta, Kaitlin, Scherich, Nancy, Verberne, Yvon

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, European Commission, Deutsche Forschungsgemeinschaft, Eusko Jaurlaritza, Israel Science Foundation, Rheinische Friedrich-Wilhelms-Universität Bonn, Natural Sciences and Engineering Research Council of Canada, Agencia Estatal de Investigación

Awards: G1217630610, EXC 2047: Hausdorff Center for Mathematics (HCM), G1600773818, Graduate Research Fellowship Program (GRFP), G4608100141, G591746060, G6814134834, LEAPS-MPS Where Algebra and Topology Meet: An investigation in Braid Group Representation Theory, Group Actions on Hyperbolic Spaces, G7798200634

OpenAlex ID: W7214212169

Cites:

Cited by:

Related to: 10