collaborators

4 papers

math.GT2025

Virtual homological torsion: abundance versus growth in books of -bundles

Jonathan Fruchter

Let be a book of -bundles, all of whose pages are surfaces of negative Euler characteristic. In this short note, we prove that torsion in the first homology of $\m…

math.GR2025

Homological torsion growth in non-normal chains of graphs of free groups

Dario Ascari, Jonathan Fruchter

Let be a hyperbolic group that splits as a graph of free groups with cyclic edge groups, and which is not isomorphic to a free product of free and surface groups. We show that…

math.GR2025

Virtual homological torsion in graphs of free groups with cyclic edge groups

Dario Ascari, Jonathan Fruchter

Let be a hyperbolic group that splits as a graph of free groups with cyclic edge groups. We prove that, unless is isomorphic to a free product of free and surface groups, e…

math.GR2022

Virtual homology of limit groups and profinite rigidity of direct products

Jonathan Fruchter, Ismael Morales

We show that the virtual second Betti number of a finitely generated, residually free group is finite if and only if is either free, free abelian or the fundamental group o…