4 citations · 7 across the 8 of their papers we have counts for
8 papers
On Cohen braids
Valery Bardakov, Vladimir Vershinin, Jie Wu
For a general surface and an arbitrary braid from the surface braid group we study the system of equations where operation is de…
Generating groups by conjugation-invariant sets
Valery Bardakov, Vladimir Tolstykh, Vladimir Vershinin
Let S be a generating set of a group G. We say that G has FINITE WIDTH relative to S if G=(S\cup S^{-1})^k for a suitable natural number k. We say that a group G is a group of FINI…
Brunnian Braids on Surfaces
V. G. Bardakov, R. Mikhailov, V. V. Vershinin +1
We determine a set of generators for the Brunnian braids on a general surface for or $\RP^2$. For the case or $\RP^2$, a set of generators for the Brunnian…
On the pure virtual braid group
V. G. Bardakov, R. Mikhailov, V. V. Vershinin +1
In this article, we investigate various properties of the pure virtual braid group PV_3. From its canonical presentation, we obtain a free product decomposition of PV_3. As a conse…
Interpreting the arithmetic in Thompson's group F
Vladimir Tolstykh, Valery Bardakov
We prove that the elementary theory of Thompson's group is hereditarily undecidable.
On certain questions of the free group automorphisms theory
Valeriy G. Bardakov, Roman Mikhailov
Certain subgroups of the groups of automorphisms of a free group are considered. Comparing Alexander polynomials of two poly-free groups and we prov…