直角Artin群的有理性质核的表示

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-05-07 DOI:10.1112/blms.70090

Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy

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引用次数: 0

摘要

在本注记中，我们刻画了直角Artin群（也称为广义Bestiva-Brady群）的一个有理特征的核何时有限生成并有限表示。在这些情况下，我们展示了一个有限生成集和一个表示。这些结果推广了Dicks和Leary关于Bestiva-Brady核的介绍，并为Meier、Meinert和VanWyk证明的结果提供了代数证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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

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.

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