Geodesic
Dense embeddings of surface groups
Breuillard, Emmanuel1 ; Gelander, Tsachik2 ; Souto, Juan3 ; Storm, Peter4
1 Université de Lille, UFR de Mathematiques, 59655 Villeneuve d’Ascq, FRANCE
2 Mathematics Department, Yale University, 10 Hillhouse ave, New Haven CT 06511, USA
3 Dept of Maths, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, USA
4 Stanford University, Mathematics, Bldg. 380, 450 Serra Mall, Stanford, CA 94305, USA
Geometry & topology, Tome 10 (2006) no. 3, pp. 1373-1389.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2006.10.1373
Keywords: surface group, topological group, fully residually free

Breuillard, Emmanuel 1 ; Gelander, Tsachik 2 ; Souto, Juan 3 ; Storm, Peter 4

1 Université de Lille, UFR de Mathematiques, 59655 Villeneuve d’Ascq, FRANCE
2 Mathematics Department, Yale University, 10 Hillhouse ave, New Haven CT 06511, USA
3 Dept of Maths, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, USA
4 Stanford University, Mathematics, Bldg. 380, 450 Serra Mall, Stanford, CA 94305, USA 
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Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter. Dense embeddings of surface groups. Geometry & topology, Tome 10 (2006) no. 3, pp. 1373-1389. doi : 10.2140/gt.2006.10.1373. http://geodesic.mathdoc.fr/articles/10.2140/gt.2006.10.1373/

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