{"title":"Profinite properties of algebraically clean graphs of free groups","authors":"Kasia Jankiewicz , Kevin Schreve","doi":"10.1016/j.jpaa.2024.107775","DOIUrl":null,"url":null,"abstract":"<div><p>We prove that for every prime <em>p</em> algebraically clean graphs of groups are virtually residually <em>p</em>-finite and cohomologically <em>p</em>-complete. We also prove that they are cohomologically good. We apply this to certain 2-dimensional Artin groups.</p></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"229 1","pages":"Article 107775"},"PeriodicalIF":0.7000,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022404924001725/pdfft?md5=70a6736e62f29b5f2cba9a6ec821ca5a&pid=1-s2.0-S0022404924001725-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001725","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that for every prime p algebraically clean graphs of groups are virtually residually p-finite and cohomologically p-complete. We also prove that they are cohomologically good. We apply this to certain 2-dimensional Artin groups.
期刊介绍：
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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