51 citations · 254 across the 64 of their papers we have counts for
4 papers · 2 filters
On the lower central series of some virtual knot groups
Valeriy G. Bardakov, Neha Nanda, Mikhail V. Neshchadim
We study groups of some virtual knots with small number of crossings and prove that there is a virtual knot with long lower central series which, in particular, implies that there…
Free quandles and knot quandles are residually finite
Valeriy G. Bardakov, Mahender Singh, Manpreet Singh
In this note, residual finiteness of quandles is defined and investigated. It is proved that free quandles and knot quandles of tame knots are residually finite and Hopfian. Residu…
Groups of virtual trefoil and Kishino knots
V. G. Bardakov, Yu. A. Mikhalchishina, M. V. Neshchadim
In the paper of Yu. A. Mikhalchishina for an arbitrary virtual link three groups , , and were defined. In the present paper these groups…
Commutator Subgroups of Virtual and Welded Braid Groups
Valeriy G. Bardakov, Krishnendu Gongopadhyay, Mikhail V. Neshchadim
Let , resp. denote the virtual, resp. welded, braid group on strands. We study their commutator subgroups and, respec…