Triangular hyperbolic buildings

Details Triangular hyperbolic buildings Triangular hyperbolic buildings

2005-06-30

arxiv.org/abs/math/0506613v1

Mathematics

Combinatorics

Scientific paper

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
$\pi/4$. Moreover, the fundamental groups of the polyhedra acts simply
transitively on vertices of the buildings.

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