10 citations · 10 across the 6 of their papers we have counts for
6 papers
Extending representations of braid groups to the automorphism groups of free groups
Valerij G. Bardakov
We construct a linear representation of the group IA(F_n) of IA-automorphisms of a free group F_n, an extension of the Gassner representation of the pure braid group P_n. Although…
The virtual and universal braids
Valerij G. Bardakov
We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi--direct product of the virtual pure braid group and the symmetric group. Also,…
On -separability of subgroups of free metabelian groups
Valerij G. Bardakov
We prove that every free metabelian non--cyclic group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. As a corollary we prove th…
On D. I. Moldavanskii's question about -separable subgroups of a free group
Valerij G. Bardakov
We prove that every nonabelian free group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. This enables us to give a negative ans…
On the conjugacy problem for cyclic extensions of free groups
Valerij Bardakov, Leonid Bokut, Andrei Vesnin
We study the conjugacy problem in cyclic extensions of free groups. It is shown that the conjugacy problem is solvable in split extensions of finitely generated free groups by virt…
Twisted conjugacy in free groups and Makanin's question
Valerij Bardakov, Leonid Bokut, Andrei Vesnin
We discuss the following question of G. Makanin from ``Kourovka notebook'': does there exist an algorithm to determine is for an arbitrary pair of words and of a free group…