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

2024/09/10 by Montserrat Casals‐Ruiz, Casals-Ruiz, Montserrat, Ilya Kazachkov +3 · 1 citation
Engineering · Mathematics · #20E05 #20E36 #20K15 #20K15 20E05 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2409.06315

openalex publication_date 2024/09/10 · openalex created_date 2024/10/22 · openalex updated_date 2026/07/28

Abstract

In this note, we characterise when the kernel of a rational character of a right-anlged 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 Bestina-Brady kernels and provide an algebraic proof for the results proven by Meier, Meinert, and VanWyk.

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• Bi-orderability and generalized torsion elements from the perspective of profinite properties

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