{"title":"自由群代数净图的无穷性质","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"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\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022404924001725\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001725","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们证明，对于每一个素数 p，群的代数干净图实际上是残差 p 有限的，并且同调 p 完全。我们还证明它们在同调上是好的。我们将此应用于某些二维阿尔丁群。
Profinite properties of algebraically clean graphs of free groups
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.
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