8 papers · 1 filter
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…
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…
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…
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…
-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…
Subgroup mixing and random walks in groups acting on hyperbolic spaces
M. Hull, A. Minasyan, D. Osin
We study the topological dynamics of the action of an acylindrically hyperbolic group on the space of its infinite index convex cocompact subgroups by conjugation. We show that, fo…