32 citations · 100 across the 26 of their papers we have counts for
27 papers
Pro-Hall -groups and groups discriminated by the free pro- group
Montserrat Casals-Ruiz, Ilya Kazachkov, Vladimir Remeslennikov
In this note we introduce pro-Hall -groups as inverse limits of Hall -groups and show that for the binomial closure of any ring discriminated by ,…
Automorphisms of Partially Commutative Groups III: Inversions and Transvections
Andrew J. Duncan, Vladimir N. Remeslennikov
The structure of a certain subgroup of the automorphism group of a partially commutative group (RAAG) is described in detail: namely the subgroup generated by inversions an…
Measuring cones and other thick subsets in free groups
Elizaveta Frenkel, Vladimir N. Remeslennikov
In this paper we investigate the special automata over finite rank free groups and estimate asymptotic characteristics of sets they accept. We show how one can decompose an arbitra…
Double cosets in free groups
Elizaveta Frenkel, Vladimir N. Remeslennikov
In this paper we study double cosets of finite rank free groups. We focus our attention on cancellation types in double cosets and their formal language properties.
Amalgamated Products of Groups II: Measures of Random Normal Forms
Elizaveta Frenkel, Alexei G. Myasnikov, Vladimir N. Remeslennikov
Let be an amalgamated product of finite rank free groups , and . We introduce atomic measures and corresponding asymptotic densities on a se…
Automorphisms of Partially Commutative Groups II: Combinatorial Subgroups
Andrew J. Duncan, Vladimir N. Remeslennikov
We define several "standard" subgroups of the automorphism group Aut(G) of a partially commutative (right-angled Artin) group and use these standard subgroups to describe decomposi…