4 papers
Hyperbolicity and bounded-valued cohomology
Nansen Petrosyan, Vladimir Vankov
We generalise a theorem of Gersten on surjectivity of the restriction map in -cohomology of groups. This leads to applications on subgroups of hyperbolic groups, qua…
On the virtual and residual properties of a generalization of Bestvina-Brady groups
Ian J Leary, Vladimir Vankov
Previously one of us introduced a family of groups , parametrized by a finite flag complex , a regular covering of , and a set of integers. We give conjectu…
Finitely generated groups acting uniformly properly on hyperbolic space
Robert Kropholler, Vladimir Vankov
We construct an uncountable sequence of groups acting uniformly properly on hyperbolic spaces. We show that only countably many of these groups can be virtually torsion-free. This…
Virtually special non-finitely presented groups via linear characters
Vladimir Vankov
We present a new method for showing that groups are virtually special. This is done by considering finite quotients and linear characters. We use this to show that an infinite fami…