37 citations · 138 across the 43 of their papers we have counts for
52 papers
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…
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.
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…
JSJ Decompositions of pro-p Groups
Pavel Zalesskii
We develop JSJ decomposition theory of pro-p groups.
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{…
On profinite groups with the Magnus Property
Claude Marion, Pavel Zalesskii
A group is said to have the Magnus Property (MP) if whenever two elements have the same normal closure then they are conjugate or inverse-conjugate. We show that a profinite MP gro…