{"title":"Homology torsion growth of finitely presented pro-p groups","authors":"N. Nikolov","doi":"10.1142/s021819672250045x","DOIUrl":null,"url":null,"abstract":"We prove that torsion in the abelianizations of open normal subgroups in finitely presented pro-[Formula: see text] groups can grow arbitrarily fast. By way of contrast in [Formula: see text]-adic analytic groups the torsion growth is at most polynomial.","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"32 4","pages":"1071-1081"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Algebra Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s021819672250045x","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
We prove that torsion in the abelianizations of open normal subgroups in finitely presented pro-[Formula: see text] groups can grow arbitrarily fast. By way of contrast in [Formula: see text]-adic analytic groups the torsion growth is at most polynomial.
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