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

Nikolay Bogachev,Sami Douba,Jean Raimbault

Advances in Mathematics（2024）

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摘要

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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关键词

Reflection groups,Hyperbolic geometry,Lattices in Lie groups,Arithmetic groups

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