5 citations · 10 across the 6 of their papers we have counts for
6 papers
Stability of Universal Equivalence of Groups under Free Constructions
A. J. Duncan, I. V. Kazachkov, V. N. Remeslennikov
In 1971 J. Stallings introduced a generalisation of amalgamated products of groups -- called a pregroup, which is a particular kind of a partial group. He defined the universal gro…
Automorphisms of Partially Commutative Groups I: Linear Subgroups
Andrew J. Duncan, Ilya V. Kazachkov, Vladimir N. Remeslennikov
The goal of this paper is to construct and describe certain arithmetic subgroups of the automorphism group of a partially commutative group. More precisely, given an arbitrary fini…
Elements of Algebraic Geometry and the Positive Theory of Partially Commutative Groups
Montserrat Casals-Ruiz, Ilya V. Kazachkov
In this version small mistakes are corrected and the exposition is changed as suggested by the referee (to appear in Canadian Journal of Mathematics). The first main result of the…
Orthogonal Systems in Finite Graphs
Andrew J Duncan, Ilya V Kazachkov, Vladimir N Remeslennikov
Given a finite graph G there is a corresponding group given by the presentation with generators the vertices of G and a relation [x,y]=1 for generators x and y precisely when (x,y)…
Parabolic and Quasiparabolic Subgroups of Free Partially Commutative Groups
A. J. Duncan, I. V. Kazachkov, V. N. Remeslennikov
Let S be a finite graph and G be the corresponding free partially commutative group. In this paper we study subgroups generated by vertices of the graph S, which we call canonical…
Comparison of the Discrete and Continuous Cohomology Groups of a Pro- Group
Gustavo A. Fernandez-Alcober, Ilya V. Kazachkov, Vladimir N. Remeslennikov +1
We address the following question. For which finitely generated pro- groups the comparison map $ϕ^2:H_{cont}^{2}(P,\F_p) \to H_{disc}{2}(P,\F_p)$ is an isomorphism? We prove tha…