Polyhedrons and PBIBDs from hyperbolic manifolds

2013/08/16 by Eran Nevo, Nevo, Eran
Computer Science · Mathematics · #Coding theory and cryptography #Finite Group Theory Research #Geometric and Algebraic Topology #math.CO #msc:05B05 #msc:32Q45 #msc:52B70

paper · pdf · doi:10.48550/arxiv.1308.3651

v2: Lemma 2.3(4) corrected, and as a result, $Ω(n^{3/2})$ combinatorially different triangulated 3-manifolds on n vertices are constructed. in Geometriae Dedicata 2015, online

arxiv created 2015/06/23 · arxiv updated 2015/06/24

Abstract

By taking quotients of a certain tiling of hyperbolic plane / space by certain group actions, we obtain geometric polyhedra / cellulations with interesting symmetries and incidence structure.

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