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math.GR2023
Arithmetic trialitarian hyperbolic lattices are not LERF
Nikolay Bogachev, Leone Slavich, Hongbin Sun
A group is LERF (locally extended residually finite) if all its finitely generated subgroups are separable. We prove that the trialitarian arithmetic lattices in $\mathbf{PSO}_{7,1…
math.GR2023
Infinitely many commensurability classes of compact Coxeter polyhedra in and
Nikolay Bogachev, Sami Douba, Jean Raimbault
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…