4 papers
Improved algebraic fibrations of high-dimensional hyperbolic groups
Giovanni Italiano, Matteo Migliorini, Andrew Ng
For every , we construct infinitely many quasi-isometry classes of hyperbolic groups of cohomological dimension that algebraically fibre with finitely presented k…
Perfect circle-valued Morse functions on hyperbolic 6-manifolds
Giovanni Italiano, Matteo Migliorini
We build the first example of a hyperbolic 6-manifold that admits a perfect circle-valued Morse function, which can be considered as the analogue of a fibration over the circle for…
Dehn functions of subgroups of products of free groups. Part II: Precise computations
Dario Ascari, Federica Bertolotti, Giovanni Italiano +2
We prove that the Bridson-Dison group has quartic Dehn function, thereby providing the first precise computation of the Dehn function of a subgroup of a direct product of free grou…
Dehn functions of subgroups of products of free groups. Part I: Uniform upper bounds
Dario Ascari, Federica Bertolotti, Giovanni Italiano +2
Subgroups of direct products of finitely many finitely generated free groups form a natural class that plays an important role in geometric group theory. Its members include fundam…