Triangular hyperbolic buildings

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

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/75628

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506613
 http://arxiv.org/abs/math/0506613

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arXiv