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of 211
pro vyhledávání: '"Bardakov, V."'
Autor:
Bardakov, V. G., Iskra, A. L.
The class transposition group $CT(\mathbb{Z})$ was introduced by S. Kohl in 2010. It is a countable subgroup of the permutation group $Sym(\mathbb{Z})$ of the set of integers $\mathbb{Z}$. We study products of two class transpositions $CT(\mathbb{Z})
Externí odkaz:
http://arxiv.org/abs/2409.13341
We find connection between relative Rota--Baxter operators and usual Rota--Baxter operators. We prove that any relative Rota--Baxter operator on a group $H$ with respect to $(G, \Psi)$ defines a Rota--Baxter operator on the semi-direct product $H\rti
Externí odkaz:
http://arxiv.org/abs/2404.12632
Autor:
Bardakov, V. G., Bovdi, V. A.
In the present article we define and investigate relative Rota--Baxter operators and relative averaging operators on racks and rack algebras. Also, if B is a Rota--Baxter or averaging operator on a rack X, then we can extend B by linearity to the rac
Externí odkaz:
http://arxiv.org/abs/2402.11660
The $n$-simplex equation ($n$-SE) was introduced by A. B. Zamolodchikov as a generalization of the Yang--Baxter equation, which is the $2$-simplex equation in these terms. In the present paper we suggest some general approaches to constructing soluti
Externí odkaz:
http://arxiv.org/abs/2206.08906
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
We study the following question: under what conditions extension of one residually nilpotent group by another residually nilpotent group is residually nilpotent? We prove some sufficient conditions under which this extension is residually nilpotent.
Externí odkaz:
http://arxiv.org/abs/2106.11678
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:
Bardakov, V. G., Neshchadim, M. V.
We find the lower central series for residually nilpotent Baumslag-Solitar groups, and find the intersection of all terms of the lower central series. Also, we find non-abelian Bauslag-Solitar groups for which the lower central series has length 2. F
Externí odkaz:
http://arxiv.org/abs/2009.01150
Homotopy braid group is the subject of the paper. First, linearity of homotopy braid group over the integers is proved. Then we prove that the group homotopy braid group on three strands is torsion free.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2008.07806
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