{"title":"有限表示的pro-p群的同调扭转增长","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":"{\"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}","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}
Homology torsion growth of finitely presented pro-p groups
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.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
