{"title":"点灯族的一个属性","authors":"I. Castellano, Ged Corob Cook, P. Kropholler","doi":"10.1515/taa-2020-0001","DOIUrl":null,"url":null,"abstract":"Abstract We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"8 1","pages":"1 - 4"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2020-0001","citationCount":"4","resultStr":"{\"title\":\"A property of the lamplighter group\",\"authors\":\"I. Castellano, Ged Corob Cook, P. Kropholler\",\"doi\":\"10.1515/taa-2020-0001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.\",\"PeriodicalId\":30611,\"journal\":{\"name\":\"Topological Algebra and its Applications\",\"volume\":\"8 1\",\"pages\":\"1 - 4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/taa-2020-0001\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Algebra and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/taa-2020-0001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2020-0001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Abstract We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.