Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy
{"title":"Presentation of kernels of rational characters of right-angled Artin groups","authors":"Montserrat Casals-Ruiz, Ilya Kazachkov, Mallika Roy","doi":"arxiv-2409.06315","DOIUrl":null,"url":null,"abstract":"In this note, we characterise when the kernel of a rational character of a\nright-anlged Artin group, also known as generalised Bestiva-Brady group, is\nfinitely generated and finitely presented. In these cases, we exhibit a finite\ngenerating set and a presentation. These results generalise Dicks and Leary's\npresentations of Bestina-Brady kernels and provide an algebraic proof for the\nresults proven by Meier, Meinert, and VanWyk.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06315","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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