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20162026
most citedOn faces of quasi-arithmetic Coxeter polytopes

9 citations · 16 across the 14 of their papers we have counts for

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math.GR2026

Proof of the positive trace gap conjecture

Nikolay Bogachev

We prove that a lattice in or has positive trace gap, meaning that its traces are uniformly separated, if and only if i…

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…

math.GR2021

Thin hyperbolic reflection groups

Nikolay Bogachev, Alexander Kolpakov

We study a family of Zariski dense finitely generated discrete subgroups of , , defined by the following property: any group in this fam…