{"title":"剩余有限群的连续多个拟等距类","authors":"Hip Kuen Chong, D. Wise","doi":"10.1017/S0017089523000137","DOIUrl":null,"url":null,"abstract":"Abstract We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of \n$F_2$\n depending on a subset \n$S$\n of positive integers. Varying \n$S$\n yields continuously many groups up to quasi-isometry.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Continuously many quasi-isometry classes of residually finite groups\",\"authors\":\"Hip Kuen Chong, D. Wise\",\"doi\":\"10.1017/S0017089523000137\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of \\n$F_2$\\n depending on a subset \\n$S$\\n of positive integers. Varying \\n$S$\\n yields continuously many groups up to quasi-isometry.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1017/S0017089523000137\",\"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://doi.org/10.1017/S0017089523000137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Continuously many quasi-isometry classes of residually finite groups
Abstract We study a family of finitely generated residually finite small-cancellation groups. These groups are quotients of
$F_2$
depending on a subset
$S$
of positive integers. Varying
$S$
yields continuously many groups up to quasi-isometry.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
