36 citations · 170 across the 43 of their papers we have counts for
5 papers · 1 filter
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…
Infinitely many quasi-arithmetic maximal reflection groups
Edoardo Dotti, Alexander Kolpakov
In contrast to the fact that there are only finitely many maximal arithmetic reflection groups acting on the hyperbolic space , , we show that: (a) one can p…
Euclidean volumes of hyperbolic knots
Nikolay Abrosimov, Alexander Kolpakov, Alexander Mednykh
The hyperbolic structure on a 3-dimensional cone-manifold with a knot as singularity can often be deformed into a limiting Euclidean structure. In the present paper we show that th…
On free semigroups of affine maps on the real line
Alexander Kolpakov, Alexey Talambutsa
In this note we generalise some of the work of Klarner on free semigroups of affine maps acting on the real line by using a classical approach from geometric group theory (the Ping…
Subspace stabilisers in hyperbolic lattices
Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov +1
This paper shows that immersed totally geodesic -dimensional suborbifolds of -dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the commensurator…