9 citations · 16 across the 14 of their papers we have counts for
5 papers · 1 filter
Quasi-arithmetic hyperbolic Coxeter prisms
Nikolay Bogachev, Khusrav Yorov
In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arit…
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…
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…
On quasi-arithmeticity of hyperbolic gluings
Nikolay Bogachev, Dmitry Guschin, Andrei Vesnin
We study a more general version of the gluings of hyperbolic orbifolds in the spirit of Gromov and Piatetski-Shapiro, where the gluing pieces, called the building blocks, are no lo…
Geometric and arithmetic properties of Löbell polyhedra
Nikolay Bogachev, Sami Douba
The Löbell polyhedra form an infinite family of compact right-angled hyperbolic polyhedra in dimension . We observe, through both elementary and more conceptual means, that the…