## Illinois Journal of Mathematics

### Thin surface subgroups in cocompact lattices in $\operatorname{SL}(3,\mathbf{R})$

#### Abstract

We show certain cocompact lattices in $\operatorname{SL}(3,\mathbf{R})$ contain closed surface groups. With further restrictions, we exhibit such lattices containing infinitely many commensurability classes of closed surface groups.

#### Article information

Source
Illinois J. Math., Volume 60, Number 1 (2016), 39-53.

Dates
Revised: 16 March 2016
First available in Project Euclid: 21 June 2017

https://projecteuclid.org/euclid.ijm/1498032023

Digital Object Identifier
doi:10.1215/ijm/1498032023

Mathematical Reviews number (MathSciNet)
MR3665171

Zentralblatt MATH identifier
06734362

#### Citation

Long, D. D.; Reid, A. W. Thin surface subgroups in cocompact lattices in $\operatorname{SL}(3,\mathbf{R})$. Illinois J. Math. 60 (2016), no. 1, 39--53. doi:10.1215/ijm/1498032023. https://projecteuclid.org/euclid.ijm/1498032023