{"title":"一类分形非收缩弱支群","authors":"M. Noce","doi":"10.26493/1855-3974.2338.5DF","DOIUrl":null,"url":null,"abstract":"We construct a new example of an infinite family of groups acting on a d -adic tree, with d ≥ 2 that is non-contracting and weakly regular branch over the derived subgroup.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A family of fractal non-contracting weakly branch groups\",\"authors\":\"M. Noce\",\"doi\":\"10.26493/1855-3974.2338.5DF\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct a new example of an infinite family of groups acting on a d -adic tree, with d ≥ 2 that is non-contracting and weakly regular branch over the derived subgroup.\",\"PeriodicalId\":8402,\"journal\":{\"name\":\"Ars Math. Contemp.\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-04-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ars Math. Contemp.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26493/1855-3974.2338.5DF\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Math. Contemp.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/1855-3974.2338.5DF","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A family of fractal non-contracting weakly branch groups
We construct a new example of an infinite family of groups acting on a d -adic tree, with d ≥ 2 that is non-contracting and weakly regular branch over the derived subgroup.