Table of Contents
Mathematics, Volume 5, Issue 3 (September 2017)
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Cover Story We studied arithmetic orientable hyperbolic n-orbifolds of small volume and have discovered that [...] Read more. We studied arithmetic orientable hyperbolic n-orbifolds of small volume and have discovered that they are closely related to hyperbolic Coxeter polyhedra with few facets and with highly symmetric Coxeter graphs. First, we identified the arithmetic lattices in Isom+ of minimal covolume for even dimensions n up to 18. Then, we elaborated on the related problems in higher odd dimensions and provided solutions for n = 11 and n = 13 in terms of the rotation subgroup of certain Coxeter pyramid groups. Figure produced by Simon Drewitz View this paper