149 citations · 595 across the 59 of their papers we have counts for
3 papers · 2 filters
Finite Index Rigidity of Relatively Hyperbolic Groups
Nir Lazarovich, Gon Rahamim, Alessandro Sisto
We prove that, given a torsion-free relatively hyperbolic group G with non-relatively-hyperbolic peripherals, isomorphic finite index subgroups of G have the same index. This appli…
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…
Bounded cohomology, quotient extensions, and hierarchical hyperbolicity
Francesco Fournier-Facio, Giorgio Mangioni, Alessandro Sisto
We call a central extension bounded if its Euler class is represented by a bounded cocycle. We prove that a bounded central extension of a hierarchically hyperbolic group (HHG) is…