3 papers
math.GR2026
Revisiting fully residually free Demushkin groups
Henrique Souza, Pavel Zalesskii
We establish new examples and non-examples of pro-p limit groups among the class of Demushkin groups, that is, pro-p Poincaré duality groups of dimension 2.
math.GR2026
Profinite detection of free products and free factors
Andrei Jaikin-Zapirain, Henrique Souza, Pavel Zalesski
Let be the fundamental group of a graph of finitely generated virtually free groups with virtually cyclic edge groups. We shaw that is cohomologically good if is residu…
math.GR2026
Sylvester domains and pro- groups
Andrei Jaikin-Zapirain, Henrique Souza
Let be a finitely generated torsion-free pro- group containing an open free-by- pro- subgroup. We show that the completed group algebra of over $\mathbb…