10 citations · 25 across the 14 of their papers we have counts for
16 papers
On residually nilpotence of group extensions
V. G. Bardakov, M. V. Neshchadim, O. V. Bryukhanov
We study the following question: under what conditions extension of one residually nilpotent group by another residually nilpotent group is residually nilpotent? We prove some suff…
Representations of flat virtual braids which do not preserve the forbidden relations
V. Bardakov, B. Chuzhinov, I. Emel'yanenkov +8
In the paper, we construct a representation of the flat virtual braid group on strands by automorphisms of the free group with $2…
Representations of virtual braids by automorphisms and virtual knot groups
V. G. Bardakov, Yu. A. Mikhalchishina, M. V. Neshchadim
In the present paper the representation of the virtual braid group into the automorphism group of free product of the free group and free abelian group is constructed. This…
Dynnikov coordinates on virtual braid groups
Valerij G. Bardakov, Andrei Vesnin, Bert Wiest
We define Dynnikov coordinates on virtual braid groups. We prove that they are faithful invariants of virtual 2-braids, and present evidence that they are also very powerful invari…
On residual properties of pure braid groups of closed surfaces
Valerij G. Bardakov, Paolo Bellingeri
We prove that pure braid groups of closed surface are almost-direct products of residually torsion free nilpotent groups and hence residually torsion free nilpotent. As a Corollary…
Representations of Braid Groups and Generalisations
Valerij G. Bardakov, Paolo Bellingeri
We define and study extensions of Artin's representation and braid monodromy representation to the case of topological and algebraical generalisations of braid groups. In particula…