M. V. Neshchadim

activity

20102022

most citedComputing skew left braces of small orders

20 citations · 38 across the 18 of their papers we have counts for

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4 papers · 1 filter

math.GT2020★ 2 cited

Virtually Symmetric representations and marked Gauss diagrams

Valeriy G. Bardakov, Mikhail V. Neshchadim, Manpreet Singh

In this paper, we define the notion of a virtually symmetric representation of representations of virtual braid groups and prove that many known representations are equivalent to v…

math.GT2018★ 1 cited

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…

math.GT2018

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 $L$ three groups $G_{1, r} (L)$ , $r > 0$ , $G_{2} (L)$ and $G_{3} (L)$ were defined. In the present paper these groups…

math.GT2018

Commutator Subgroups of Virtual and Welded Braid Groups

Valeriy G. Bardakov, Krishnendu Gongopadhyay, Mikhail V. Neshchadim

Let $V B_{n}$ , resp. $W B_{n}$ denote the virtual, resp. welded, braid group on $n$ strands. We study their commutator subgroups $V B_{n}^{'} = [V B_{n}, V B_{n}]$ and, $W B_{n}^{'} = [W B_{n}, W B_{n}]$ respec…