Recent Issues |
|
Volume 1, 1997 |
|
Volume 2, 1998 |
|
Volume 3, 1999 |
|
Volume 4, 2000 |
|
Volume 5, 2001 |
|
Volume 6, 2002 |
|
Volume 7, 2003 |
|
Volume 8, 2004 |
|
Volume 9, 2005 |
|
Volume 10, 2006 |
|
Volume 11, 2007 |
|
Volume
12(1) 2008 |
|
Volume
12(2) 2008 |
|
Volume
12(3) 2008 |
|
Volume
12(4) 2008 |
|
Volume
12(5) 2008 |
|
Volume
13(1) 2009 |
|
Volume
13(2) 2009 |
|
Volume
13(3) 2009 |
|
Volume
13(4) 2009 |
|
Volume
13(5) 2009 |
|
Volume
14(1) 2010 |
|
G&T Monographs |
|
|
|
Dense embeddings of surface groups
Emmanuel Breuillard, Tsachik Gelander, Juan Souto and
Peter Storm
|
|
Geometry & Topology 10 (2006)
1373–1389
|
Abstract
|
|
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.
|
Keywords
surface group, topological group, fully
residually free
|
Mathematical Subject Classification
Primary: 22E40
Secondary: 20H10
|
Publication
Received: 10 February 2006
Revised: 3 August 2006
Accepted: 18 June 2006
Published: 4 October 2006
Proposed: Benson Farb
Seconded: Jean-Pierre Otal, Walter Neumann
|
|