activity
20242026
collaborators

12 papers

math.GR2026

Pro- groups acting on profinite trees

Lucas C. Lopes, Pavel A. Zalesskii

We provide necessary conditions for pro- subgroups to embed into free profinite products, where is a variety of finite groups that does not contain all f…

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 genus of HNN-extensions with finite associated subgroups

V. R. de Bessa, A. L. P. Porto, P. A. Zalesskii

We study the profinite genus of HNN-extensions whose associated subgroups are finite. We give precise formulas for the number of isomorphism classes of HNN(G,H,K,t,f) and of its pr…

math.GT2025

Prosoluble subgroups of the profinite completion of the fundamental group of compact 3-manifolds

Lucas C. Lopes, Pavel A. Zalesskii

We give a description of finitely generated prosoluble subgroups of the profinite completion of -manifold groups and virtually compact special groups.

math.GR2025

JSJ Decompositions of pro-p Groups

Pavel Zalesskii

We develop JSJ decomposition theory of pro-p groups.

math.GR2025

Cyclic splittings of pro- groups

Jesus Berdugo, Pavel Zalesskii

In this paper we proved a pro- version of the Rips-Sela Theorems on splittings as an amalgamated free product or HNN-extension over a cyclic subgroup, where $\mathcal{…