2003/07/30 by Alina Vdovina, Vdovina, Alina
Computer Science · Mathematics · #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.CO #math.GR #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0307380
arxiv created 2003/07/30 · openalex publication_date 2003/07/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an elementary construction of polyhedra whose links are connected bipartite graphs, which are not necessarily isomorphic pairwise. We show, that the fundamental groups of some of our polyhedra contain surface groups. In particular, we construct polyhedra whose links are generalized m-gons. The polyhedra of this type are interesting because of their universal coverings, which are two-dimensional hyperbolic buildings with different links. The presentation of the results is done in the language of combinatorial group theory.