Dense embeddings of surface groups

@inproceedings{TORM2008DenseEO,
  title={Dense embeddings of surface groups},
  author={E MMANUEL B REUILLARD T SACHIK G ELANDER J UAN S OUT TORM},
  year={2008}
}
  • E MMANUEL B REUILLARD T SACHIK G ELANDER J UAN S OUT TORM
  • Published 2008
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. 

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