51 citations · 254 across the 64 of their papers we have counts for
6 papers · 2 filters
Linearity problem for non-abelian tensor products
Valeriy G. Bardakov, Andrei V. Lavrenov, Mikhail V. Neshchadim
In this paper we give an example of a linear group such that its tensor square is not linear. Also, we formulate some sufficient conditions for the linearity of non-abelian tensor…
Compatible actions and non-abelian tensor products
V. G. Bardakov, M. V. Neshchadim
For a pair of groups we study pairs of actions on and on such that these pairs are compatible and non-abelian tensor products are defined.
Quandle rings
Valeriy G. Bardakov, Inder Bir Singh Passi, Mahender Singh
In this paper, a theory of quandle rings is proposed for quandles analogous to the classical theory of group rings for groups, and interconnections between quandles and associated…
Automorphism groups of quandles and related groups
Valeriy Bardakov, Timur Nasybullov, Mahender Singh
In this paper we study different questions concerning automorphisms of quandles. For a conjugation quandle of a group we determine several subgroups of ${\rm…
Automorphisms of pure braid Groups
Valeriy G. Bardakov, Mikhail V. Neshchadim, Mahender Singh
In this paper, we investigate the structure of the automorphism groups of pure braid groups. We prove that, for , $\Aut(P_n)$ is generated by the subgroup $\Aut_c(P_n)$ of cen…
Braid groups in handlebodies and corresponding Hecke algebras
Valetiy G. Bardakov
In this paper we study the kernel of the homomorphism of the braid group in the handlebody to the braid group . We prove that this…