3 papers
math.GR2025
Cohomological characterisation of hyperbolicity
Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1
For any geodesic metric space , we give a complete cohomological characterisation of the hyperbolicity of in terms of vanishing of its second -cohomology. We…
math.GR2025
Uncountably many quasi-isometric torsion-free groups
Vladimir Vankov
We construct uncountably many finitely generated, pairwise non-isomorphic torsion-free groups, all of which fall into the same quasi-isometry class. This is done by considering Sch…
math.GR2025
Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings
Shaked Bader, Robert Kropholler, Vladimir Vankov
In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric inequalities over ar…