44 citations · 146 across the 39 of their papers we have counts for
43 papers
Property (LR) and an embedding theorem for virtually free groups
Ashot Minasyan
We prove that every virtually free group has property (LR) of Long and Reid: each finitely generated subgroup of is a retract of a finite index subgroup. The main ingredien…
Property (VRC) and virtual fibering for amalgamated free products
Jon Merladet Urigüen, Ashot Minasyan
This paper focuses on studying properties of amalgamated free products , where the amalgamated subgroup is virtually cyclic. First, we prove that if the fac…
On automorphisms, quasimorphisms, and coarse automorphisms of acylindrically hyperbolic groups
Ashot Minasyan, Alessandro Sisto, Federico Vigolo
We investigate the action of the automorphism group of an acylindrically hyperbolic group G on its space of homogeneous quasimorphisms, and identify its kernel with the subgroup of…
On the proofs of Leighton's Graph Covering Theorem, a notion dual to commensurability, and normal virtual retracts
Nicholas Touikan, Ashot Minasyan
Leighton's Graph Covering Theorem states that if two finite graphs have the same universal covering tree, then they also have a common finite degree cover. Bass and Kulkarni gave a…
Virtual retractions in free constructions
Jon Merladet Urigüen, Ashot Minasyan
A group has property (VRC) if every cyclic subgroup is a virtual retract. This property is stable under many standard group-theoretic constructions and is enjoyed by all virtua…
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…