{"title":"子群可分性与群的虚可缩","authors":"D.D. Long , A.W. Reid","doi":"10.1016/j.top.2006.04.001","DOIUrl":null,"url":null,"abstract":"<div><p>We discuss separability properties of discrete groups, and introduce a new property of groups that is motivated by a geometric proof of separability of geometrically finite subgroups of Kleinian groups. This property appears natural in that it provides a general framework for old questions in the geometry and topology of hyperbolic manifolds and discrete groups.</p></div>","PeriodicalId":54424,"journal":{"name":"Topology","volume":"47 3","pages":"Pages 137-159"},"PeriodicalIF":0.0000,"publicationDate":"2008-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.top.2006.04.001","citationCount":"42","resultStr":"{\"title\":\"Subgroup separability and virtual retractions of groups\",\"authors\":\"D.D. Long , A.W. Reid\",\"doi\":\"10.1016/j.top.2006.04.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We discuss separability properties of discrete groups, and introduce a new property of groups that is motivated by a geometric proof of separability of geometrically finite subgroups of Kleinian groups. This property appears natural in that it provides a general framework for old questions in the geometry and topology of hyperbolic manifolds and discrete groups.</p></div>\",\"PeriodicalId\":54424,\"journal\":{\"name\":\"Topology\",\"volume\":\"47 3\",\"pages\":\"Pages 137-159\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.top.2006.04.001\",\"citationCount\":\"42\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S004093830700050X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S004093830700050X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Subgroup separability and virtual retractions of groups
We discuss separability properties of discrete groups, and introduce a new property of groups that is motivated by a geometric proof of separability of geometrically finite subgroups of Kleinian groups. This property appears natural in that it provides a general framework for old questions in the geometry and topology of hyperbolic manifolds and discrete groups.
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