2 citations · 2 across the 1 of their papers we have counts for
4 papers
On Linear Representations of Some Extensions
V. G. Bardakov, O. V. Bryukhanov
Yu. I. Merzljakov developed a method of splittable coordinates which helps to verify the linearity of some groups, he established some fundamental results using this method. In thi…
The palindromic width of a free product of groups
Valery Bardakov, Vladimir Tolstykh
Palindromes are those reduced words of free products of groups that coincide with their reverse words. We prove that a free product of groups has infinite palindromic width, pr…
On the palindromic and primitive widths of a free group
Valery Bardakov, Vladimir Shpilrain, Vladimir Tolstykh
Let G be a group and S a subset of G that generates G. For each x in G define the length l_S(x) of x relative to S to be the minimal k such that x is a product of k elements of S.…
The structure of the group of conjugating automorphisms and the linear representation of the braid groups of some manifolds
V. G. Bardakov
In this paper we describe the structure of a group of conjugating automorphisms of free group and prove that this structure is similar to the structure of a braid group …