Work

Presentation of kernels of rational characters of right‐angled Artin groups

Year: 2025

Type: article

Abstract: In this note, we characterise when the kernel of a rational character of a right‐angled Artin group, also known as generalised Bestiva–Brady group, is finitely generated and finitely presented. In these cases, we exhibit a finite generating set and a presentation. These results generalise Dicks and Leary's presentations of Bestiva–Brady kernels and provide an algebraic proof for the results proven by Meier, Meinert and VanWyk.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70090

Authors: Montserrat Casals‐Ruiz, Ilya Kazachkov, Mallika Roy

Institutions: Ikerbasque, University of the Basque Country, Harish-Chandra Research Institute

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Eusko Jaurlaritza, European Regional Development Fund