Surface subgroups for lattices in Fuchsian buildings
  We consider finite 2-dimensional polyhedral complexes, equipped with piecewise non-positively curved, locally CAT(0) metrics. We give conditions on the complex X that ensure that its fundamental group contains a surface subgroup. Concrete examples covered by our methods include compact quotients of sufficiently thick Fuchsian buildings, where the lattice acts freely and the quotient has at least two vertices. 
David Constantine, Jean-Francois Lafont, and Izhar Oppenheim
math.GR