直角阿尔丁群有理特征的内核表述

arXiv - MATH - Group Theory Pub Date : 2024-09-10 DOI:arxiv-2409.06315

Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy

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引用次数: 0

摘要

在本论文中，我们描述了有理性质的阿尔丁群（又称广义贝斯特瓦-布拉迪群）的内核是无限生成和有限呈现的情况。在这些情况下，我们展示了有限生成集和有限呈现。这些结果概括了 Dicks 和 Leary 对 Bestina-Brady 核的呈现，并为 Meier、Meinert 和 VanWyk 所证明的结果提供了代数证明。

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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-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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arXiv - MATH - Group Theory

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