Henrique Souza

activity

20212026

collaborators

5 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 $G$ be the fundamental group of a graph of finitely generated virtually free groups with virtually cyclic edge groups. We shaw that $G$ is cohomologically good if $G$ is residu…

math.GR2024

Asymptotics of rational representations for algebraic groups

Lander Guerrero Sánchez, Henrique Souza

We study the asymptotic behaviour of the cohomology of subgroups $Γ$ of an algebraic group $G$ with coefficients in the various irreducible rational representations of $G$ and rais…

math.GR2024

Sylvester domains and pro- $p$ groups

Andrei Jaikin-Zapirain, Henrique Souza

Let $G$ be a finitely generated torsion-free pro- $p$ group containing an open free-by- $Z_{p}$ pro- $p$ subgroup. We show that the completed group algebra of $G$ over $\mathbb…

math.GR2021

Inertia of retracts in Demushkin groups