Triangular hyperbolic buildings
Combinatorics
2007-05-23 v1
Abstract
We construct triangular hyperbolic polyhedra whose links are generalized 4-gons. The universal cover of those polyhedra are hyperbolic buildings, which appartments are hyperbolic planes tesselated by regular triangles with angles . Moreover, the fundamental groups of the polyhedra acts simply transitively on vertices of the buildings.
Cite
@article{arxiv.math/0506613,
title = {Triangular hyperbolic buildings},
author = {Riikka Kangaslampi and Alina Vdovina},
journal= {arXiv preprint arXiv:math/0506613},
year = {2007}
}