A. Rapinchuk

collaborators

3 papers

math.GR2026

Bounded elementary generation of SL_2: nearly the end

B. E. Kunyavskii, D. W. Morris, A. S. Rapinchuk

Let $O_{S}$ be the ring of $S$ -integers of a global field $K$ of any characteristic, where $S$ is a finite set of valuations of $K$ (and $S$ contains all of the archimedean…

math.NT2026

The congruence subgroup property for $S$ -arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet density

Andrei S. Rapinchuk

Let $G$ be an absolutely almost simple simply connected algebraic group defined over a number field $K$ , and let $M / K$ be the minimal Galois extension over which $G$ becomes an inn…

math.GR2025

Classifying group actions on hyperbolic spaces

D. Osin, K. Oyakawa, A. Rapinchuk

For a given group $G$ , it is natural to ask whether one can classify all isometric $G$ -actions on Gromov hyperbolic spaces. We propose a formalization of this problem utilizing the…

Bounded elementary generation of SL_2: nearly the end

The congruence subgroup property for S-arithmetic subgroups of simple algebraic groups when S has positive Dirichlet density

Classifying group actions on hyperbolic spaces

The congruence subgroup property for $S$ -arithmetic subgroups of simple algebraic groups when $S$ has positive Dirichlet density