Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Nasybullov, T."'
Autor:
Nasybullov, T., Novikov, I.
If $A=(A,\oplus,\odot)$ is a $\lambda$-homomorphic brace with $(A,\oplus)=\mathbb{Z}^2$, then the operations in this brace are given by formulas \begin{align*}\begin{pmatrix}a_1\\a_2\end{pmatrix}\oplus\begin{pmatrix}b_1\\b_2\end{pmatrix}=\begin{pmatr
Externí odkaz:
http://arxiv.org/abs/2408.06589
Autor:
Markhinina, E., Nasybullov, T.
We find all words $W(x,y,z)$ in the free group $F(x,y,z)$, such that for every group $G$ and an element $c\in G$ the algebraic system $(G,*_{W,c})$ with the binary operation $*_{W,c}$ given by $a*_{W,c}b=W(a,b,c)$ for $a,b\in G$ is a quandle. Such qu
Externí odkaz:
http://arxiv.org/abs/2204.11308
In the present paper we study structural aspects of certain quotients of braid groups and virtual braid groups. In particular, we construct and study linear representations $B_n\to {\rm GL}_{n(n-1)/2}\left(\mathbb{Z}[t^{\pm1}]\right)$, $VB_n\to {\rm
Externí odkaz:
http://arxiv.org/abs/2107.03875
Autor:
Bardakov, V., Chuzhinov, B., Emel'yanenkov, I., Ivanov, M., Markhinina, E., Nasybullov, T., Panov, S., Singh, N., Vasyutkin, S., Yakhin, V., Vesnin, A.
In the paper, we construct a representation $\theta:FVB_n\to{\rm Aut}(F_{2n})$ of the flat virtual braid group $FVB_n$ on $n$ strands by automorphisms of the free group $F_{2n}$ with $2n$ generators which does not preserve the forbidden relations in
Externí odkaz:
http://arxiv.org/abs/2010.03162
Autor:
Nasybullov, T.
We study relations between the additive and the multiplicative groups of a two-sided skew brace. In particular, we prove that if the additive group of a two-sided skew brace is finite solvable (respectively, finitely generated nilpotent, finitely gen
Externí odkaz:
http://arxiv.org/abs/1809.09418
Autor:
Gonçalves, D. L., Nasybullov, T.
For $g\geq1$ denote by $F_{2g}=\langle x_1, y_1,\dots,x_g,y_g\rangle$ the free group on $2g$ generators and by $B_g=[x_1,y_1]\dots[x_g,y_g]$. For $l,c\geq 1$ and elements $w_1,\dots,w_l\in F_{2g}$ we study orientable quadratic equations of the form $
Externí odkaz:
http://arxiv.org/abs/1808.08456
Autor:
Cattabriga, A., Nasybullov, T.
We construct a virtual quandle for links in lens spaces $L(p,q)$, with $q=1$. This invariant has two valuable advantages over an ordinary fundamental quandle for links in lens spaces: the virtual quandle is an essential invariant and the presentation
Externí odkaz:
http://arxiv.org/abs/1702.05964
Publikováno v:
In Journal of Algebra 1 February 2021 567:284-309
Autor:
Nasybullov, T. R.
We prove that Chevalley groups of the classical series $B_l, C_l, D_l$ over an integral domain of zero characteristic, which has torsion automorphism group, possess the $R_{\infty}$-property.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1503.00668
Autor:
Nasybullov, T. R.
We prove that Chevalley group over the field $F$ of zero characteristic possess $R_{\infty}$ property, if $F$ has torsion group of automorphisms or $F$ is an algebraically closed field which has finite transcendence degree over $\mathbb{Q}$. As a con
Externí odkaz:
http://arxiv.org/abs/1502.02627