Volume 15, issue 1 (2011)

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Zariski dense surface subgroups in $\mathrm{SL}(3,{\bf Z})$

Darren D Long, Alan W Reid and Morwen Thistlethwaite

Geometry & Topology 15 (2011) 1–9
Abstract

We exhibit an infinite family of Zariski dense surface groups of fixed genus inside SL(3,Z).

Keywords
Zariski dense, surface subgroup
Mathematical Subject Classification 2010
Primary: 22E40, 20H10
References
Publication
Received: 22 May 2010
Revised: 28 September 2010
Accepted: 8 November 2010
Published: 5 January 2011
Proposed: Danny Calegari
Seconded: Benson Farb, Leonid Polterovich
Authors
Darren D Long
Department of Mathematics
University of California, Santa Barbara
Santa Barbara CA 93106
USA
http://math.ucsb.edu/~long
Alan W Reid
Department of Mathematics
University of Texas
Austin TX 78712
USA
http://www.ma.utexas.edu/users/areid/
Morwen Thistlethwaite
Department of Mathematics
University of Tennessee
Knoxville TN 37996
USA
http://www.math.utk.edu/~morwen