Infinitely many commensurability classes of compact Coxeter polyhedra in ℍ⁴ and ℍ⁵

2023/09/14 by Bogachev, Nikolay, Douba, Sami, Raimbault, Jean
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2309.07691

Abstract

We prove that certain families of compact Coxeter polyhedra in 4- and 5-dimensional hyperbolic space constructed by Makarov give rise to infinitely many commensurability classes of reflection groups in these dimensions.

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