T. Nasybullov

activity

20132022

most citedThe

R_{\infty}

-property for Chevalley groups of types

B_{l}, C_{l}, D_{l}

over integral domains

1 citations · 3 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.GR2019

General constructions of biquandles and their symmetries

Valeriy Bardakov, Timur Nasybullov, Mahender Singh

Biquandles are algebraic objects with two binary operations whose axioms encode the generalized Reidemeister moves for virtual knots and links. These objects also provide set-theor…

math.GR2019

Multi-switches and representations of braid groups

Valeriy Bardakov, Timur Nasybullov

In the paper, we introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach…

math.GR2019

Chevalley groups of types $B_{n}$ , $C_{n}$ , $D_{n}$ over certain fields do not possess the $R_{\infty}$ -property

Timur Nasybullov

Let $F$ be an algebraically closed field of zero characteristic. If the transcendence degree of $F$ over $Q$ is finite, then all Chevalley groups over $F$ are known to pos…

math.GR2019

On embeddings of quandles into groups

Valeriy Bardakov, Timur Nasybullov

In the present paper, we introduce the new construction of quandles. For a group $G$ and its subset $A$ we construct a quandle $Q (G, A)$ which is called the $(G, A)$ -quandle and stud…

General constructions of biquandles and their symmetries

Multi-switches and representations of braid groups

Chevalley groups of types Bn​, Cn​, Dn​ over certain fields do not possess the R∞​-property

On embeddings of quandles into groups

Chevalley groups of types $B_{n}$ , $C_{n}$ , $D_{n}$ over certain fields do not possess the $R_{\infty}$ -property