Dense embeddings of surface groups

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dc.creatorBreuillard, Emmanuel
dc.creatorGelander, Tsachik
dc.creatorSouto, Juan
dc.creatorStorm, Peter
dc.date2006-02-27
dc.date2009-03-02
dc.date.accessioned2026-07-07T12:47:44Z
dc.date.available2026-07-07T12:47:44Z
dc.descriptionWe discuss dense embeddings of surface groups and fully residually free groups in topological groups. We show that a compact topological group contains a nonabelian dense free group of finite rank if and only if it contains a dense surface group. Also, we obtain a characterization of those Lie groups which admit a dense faithfully embedded surface group. Similarly, we show that any connected semisimple Lie group contains a dense copy of any fully residually free group.
dc.descriptionThis is the version published by Geometry & Topology on 4 October 2006
dc.identifierhttps://arxiv.org/abs/math/0602635
dc.identifierhttp://arxiv.org/abs/math/0602635
dc.identifierGeom. Topol. 10 (2006) 1373-1389
dc.identifierdoi:10.2140/gt.2006.10.1373
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221823
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject22E40, 20H10
dc.titleDense embeddings of surface groups
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