149 citations · 595 across the 59 of their papers we have counts for
74 papers
Hierarchically Hyperbolic Surface-by-surface Groups
Spencer Dowdall, Matthew Gentry Durham, Chris Leininger +2
We give many examples of surface bundles over surfaces whose fundamental groups are hierarchically hyperbolic by showing that extensions of surface groups constructed by the third…
Coarse embeddings of products of trees as quasi-isometry invariants
Mark Hagen, Alessandro Sisto
We consider the maximal number of factors of a product of bushy trees that can be quasi-isometrically, or even coarsely embedded into various groups of interest, including mapping…
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…
Short hierarchically hyperbolic groups II: quotients and the Hopf property for Artin groups
Giorgio Mangioni, Alessandro Sisto
We prove that most Artin groups of large and hyperbolic type are Hopfian, meaning that every self-epimorphism is an isomorphism. The class covered by our result is generic, in the…