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math.GR2022
On the profinite rigidity of free and surface groups
Ismael Morales
Let be either a free group or the fundamental group of a closed hyperbolic surface. We show that if is a finitely generated residually- group with the same pro- compl…
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…