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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.GR2024
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…