V. Bardakov

activity

20102026

most citedRota-Baxter groups, skew left braces, and the Yang-Baxter equation

51 citations · 254 across the 64 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.GR2014★ 10 cited

Palindromic Automorphisms of Free Groups

Valeriy G. Bardakov, Krishnendu Gongopadhyay, Mahender Singh

Let $F_{n}$ be the free group of rank $n$ with free basis $X = {x_{1}, \dots, x_{n}}$ . A palindrome is a word in $X^{\pm 1}$ that reads the same backwards as forwards. The palindromic aut…

math.GR2014

Upper central series for the group of unitriangular automorphisms of a free associative algebra

Valeriy G. Bardakov, Mikhail V. Neshchadim

We study some subgroups of the group of unitriangular automorphisms $U_{n}$ of a free associative algebra over a field of characteristic zero. We find the center of $U_{n}$ and describ…

math.GR2014★ 2 cited

On palindromic width of certain extensions and quotients of free nilpotent groups

Valeriy G. Bardakov, Krishnendu Gongopadhyay

In arXiv:1303.1129, the authors provided a bound for the palindromic width of free abelian-by-nilpotent group $A N_{n}$ of rank $n$ and free nilpotent group $N_{n, r}$ of rank $n…

math.GR2014

Palindromic Width of Finitely Generated Solvable Groups

Valeriy G. Bardakov, Krishnendu Gongopadhyay

We investigate the palindromic width of finitely generated solvable groups. We prove that every finitely generated $3$ -step solvable group has finite palindromic width. More genera…