224 citations · 695 across the 60 of their papers we have counts for
61 papers
A paradoxical route from hyperbolic geometry to proper proximality
D. Osin, K. Toyosawa, Z. Yang
For every integer , we introduce a new combinatorial condition PP inspired by paradoxical decompositions of groups. As increases, the property PP weakens, and…
Conjugator length in finitely generated groups
G. Goffer, M. Mihaila, D. Osin
We describe all functions that can be realized, up to the standard equivalence, as conjugator length functions of finitely generated groups. Furt…
Are Widely Known Findings Easier to Retract?
Shahan Ali Memon, Jevin D. West, Cailin O'Connor
Failures of retraction are common in science. Why do they occur? And what determines whether a retraction is successful? We use data from citation records and Altmetrics to test pr…
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…
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…
Frattini subgroups of hyperbolic-like groups
Gil Goffer, Denis Osin, Ekaterina Rybak
We study Frattini subgroups of various generalizations of hyperbolic groups. For any countable group admitting a general type action on a hyperbolic space , we show that the…