collaborators

7 papers

math.GR2026

Isoperimetric inequalities in finitely generated groups

D. Osin, E. Rybak

To each finitely generated group , we associate a quasi-isometric invariant called the \emph{Dehn spectrum} of . If is finitely presented, our invariant is closely relate…

math.GR2025

Small cancellation and outer automorphisms of Kazhdan groups acting on hyperbolic spaces

I. Chifan, A. Ioana, D. Osin +1

We show that every finite group realizes as the outer automorphism group of an ICC hyperbolic group with Kazhdan property (T). This result complements the well-known theorem of Pau…

math.GR2025

Classifying group actions on hyperbolic spaces

D. Osin, K. Oyakawa, A. Rapinchuk

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

math.OA2025

Wreath-like products of groups and their von Neumann algebras II: Outer automorphisms

I. Chifan, A. Ioana, D. Osin +1

Given a countable group , let denote its von Neumann algebra. For a wide class of ICC groups with Kazhdan's property (T), we confirm a conjecture of V.F.R. Jones as…

math.GR2025

Equationally separable classes of groups

Alexander Buturlakin, Anton Klyachko, Denis Osin

Over each nontrivial finite group , there exists a finite system of equations having no solutions in larger finite groups but having a solution in a periodic group containing $G…

math.GR2025

-invariant probability measures on the space of -generated marked groups

D. Osin

Let denote the space of -generated marked groups. We prove that, for every , there exist non-atomic, -invariant, mixing probabili…