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arXiv · 2409.06315

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

Montserrat Casals-Ruiz·Ilya Kazachkov·Mallika Roy
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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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Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy. 2024-09-10. Presentation of kernels of rational characters of right-angled Artin groups. https://arxiv.org/abs/2409.06315

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