5 papers
On pro- analogues of limit groups via extensions of centralizers
Dessislava H. Kochloukova, Pavel A. Zalesskii
We begin a study of a pro- analogue of limit groups via extensions of centralizers and call this new class of pro- groups. We show that the pro- groups of $\…
Subgroup separability in integral group rings
Á. del Río, M. Ruiz Marín, P. Zalesski
We give a list of finite groups containing all finite groups such that the group of units of the integral group ring is subgroup separable. There are only two t…
Subgroups of profinite surface groups
Lior Bary-Soroker, Katherine F. Stevenson, Pavel Zalesskii
We study the subgroup structure of the étale fundamental group of a projective curve over an algebraically closed field of characteristic 0. We obtain an analog of the diamond…
The Figure Eight Knot Group is Conjugacy Separable
S. C. Chagas, P. A. Zalesskii
We prove that torsion free subgroups of PGL(2,C) (abstractly) commensurable with the Euclidean Bianchi groups are conjugacy separable. As a consequence we deduce the result stated…
The congruence kernel of an arithmetic lattice in a rank one algebraic group over a local field
A. W. Mason, A. Premet, B. Sury +1
Let k be a global field and let k_v be the completion of k with respect to v, a non-archimedean place of k. Let \mathbf{G} be a connected, simply-connected algebraic group over k,…