{"title":"Homology of the pronilpotent completion and cotorsion groups","authors":"Mikhail Basok, Sergei O. Ivanov, Roman Mikhailov","doi":"10.1007/s11856-023-2579-4","DOIUrl":null,"url":null,"abstract":"<p>For a non-cyclic free group <i>F</i>, the second homology of its pronilpotent completion <span>\\({H_2}(\\widehat F)\\)</span> is not a cotorsion group.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11856-023-2579-4","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
For a non-cyclic free group F, the second homology of its pronilpotent completion \({H_2}(\widehat F)\) is not a cotorsion group.
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