Dense embeddings of surface groups

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We 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.
This is the version published by Geometry & Topology on 4 October 2006

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Group Theory, Geometric Topology, 22E40, 20H10

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http://salesiana.dossiersoluciones.com/handle/123456789/221823

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602635
 http://arxiv.org/abs/math/0602635
 Geom. Topol. 10 (2006) 1373-1389
 doi:10.2140/gt.2006.10.1373

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