5 papers
Profinite properties of residually free groups
Ismael Morales
Henry Wilton classified when a prime three-manifold has a residually free fundamental group . We prove that the groups are profinitely rigid wi…
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…
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…
Parafree graphs of groups with cyclic edge groups
Andrei Jaikin-Zapirain, Ismael Morales
We establish a combination theorem for parafree groups. These groups were introduced by Baumslag in the sixties. One of the current motivations for a better understanding of their…
Embeddings into pro-p groups and the construction of parafree groups
Ismael Morales
A finitely generated group G is termed parafree if it is residually nilpotent and it has the same isomorphism types of nilpotent quotients as some free group. The two main results…