Surface subgroups for lattices in Fuchsian buildings

David Constantine, Jean-Francois Lafont, Izhar Oppenheim

Research output: Working paper/PreprintPreprint


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 π1(X) 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.
Original languageEnglish
StatePublished - 2014


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