51 citations · 254 across the 64 of their papers we have counts for
5 papers · 2 filters
Brunnian planar braids and simplicial groups
Valeriy G. Bardakov, Pravin Kumar, Mahender Singh
Twin groups are planar analogues of Artin braid groups and play a crucial role in the Alexander-Markov correspondence for the isotopy classes of immersed circles on the 2-sphere wi…
n-valued quandles and associated bialgebras
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Dmitry V. Talalaev
The principal aim of this article is to introduce and study n-valued quandles and n-corack bialgebras. We elaborate the basic methods of this theory, reproduce the coset constructi…
Relative Rota--Baxter operators on groups and Hopf algebras
Valeriy G. Bardakov, Igor M. Nikonov
M. Goncharov introduced and studied a Rota--Baxter operator on a cocommutative Hopf algebra. In the present paper we define relative Rota--Baxter operators on an arbitrary Hopf alg…
Twisted Virtual Braid Group
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Komal Negi +1
In this paper we study some subgroups and their decompositions in semi-direct product of the twisted virtual braid group . In particular, the twisted virtual pure braid grou…
Multivalued groups and Newton polyhedron
Valeriy G. Bardakov, Tatyana A. Kozlovskaya
On the set of complex number it is possible to define -valued group for any positive integer . The -multiplication defines a symmetric polynomial $p_n = p_n(x…