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Algebra i logika, 2017, Volume 56, Number 5, Pages 539–547
DOI: https://doi.org/10.17377/alglog.2017.56.501
(Mi al814)
 

This article is cited in 9 scientific papers (total in 9 papers)

A representation of virtual braids by automorphisms

V. G. Bardakovabc, M. V. Neshchadimab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk, 630090 Russia
c Novosibirsk State Agrarian University, ul. Dobrolyubova 160, Novosibirsk, 630039 Russia
Full-text PDF (141 kB) Citations (9)
References:
Abstract: We study a representation of the virtual braid group VBn into the automorphism group of a free product of a free group and a free Abelian group, proposed by S. Kamada. It is proved that the given representation is equivalent to the representation constructed in [http://arxiv.org/abs/1603.01425]; i.e. the kernels of these representations coincide.
Keywords: virtual braid group, automorphism group, representation.
Funding agency Grant number
Russian Science Foundation 16-11-10073
Supported by Russian Science Foundation, project No. 16-11-10073.
Received: 25.08.2016
Revised: 22.11.2016
English version:
Algebra and Logic, 2017, Volume 56, Issue 5, Pages 355–361
DOI: https://doi.org/10.1007/s10469-017-9457-2
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. G. Bardakov, M. V. Neshchadim, “A representation of virtual braids by automorphisms”, Algebra Logika, 56:5 (2017), 539–547; Algebra and Logic, 56:5 (2017), 355–361
Citation in format AMSBIB
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\by V.~G.~Bardakov, M.~V.~Neshchadim
\paper A~representation of virtual braids by automorphisms
\jour Algebra Logika
\yr 2017
\vol 56
\issue 5
\pages 539--547
\mathnet{http://mi.mathnet.ru/al814}
\crossref{https://doi.org/10.17377/alglog.2017.56.501}
\transl
\jour Algebra and Logic
\yr 2017
\vol 56
\issue 5
\pages 355--361
\crossref{https://doi.org/10.1007/s10469-017-9457-2}
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Linking options:
  • https://www.mathnet.ru/eng/al814
  • https://www.mathnet.ru/eng/al/v56/i5/p539
  • This publication is cited in the following 9 articles:
    1. Valeriy G. Bardakov, Tatyana A. Kozlovskaya, “Singular braids, singular links and subgroups of camomile type”, Topology and its Applications, 2025, 109206  crossref
    2. V. G. Bardakov, B. B. Chuzhinov, I. A. Emelyanenkov, M. E. Ivanov, T. A. Kozlovskaya, V. E. Leshkov, “Set-Theoretical Solutions of the n-Simplex Equation”, Sib. Adv. Math., 34:1 (2024), 1  crossref
    3. Valeriy Bardakov, Timur Nasybullov, “Multi-switches and representations of braid groups”, J. Algebra Appl., 23:03 (2024)  crossref
    4. Valeriy Bardakov, Bogdan Chuzhinov, Ivan Emel'yanenkov, Maxim Ivanov, Elizaveta Markhinina, Timur Nasybullov, Sergey Panov, Nina Singh, Sergey Vasyutkin, Valeriy Yakhin, Andrei Vesnin, “Representations of flat virtual braids which do not preserve the forbidden relations”, J. Knot Theory Ramifications, 32:14 (2023)  crossref
    5. Bardakov V.G., Neshchadim V M., Singh M., “Virtually Symmetric Representations and Marked Gauss Diagrams”, Topology Appl., 306 (2022), 107936  crossref  mathscinet  isi  scopus
    6. Valeriy Bardakov, Ivan Emel'yanenkov, Maxim Ivanov, Tatyana Kozlovskaya, Timur Nasybullov, Andrei Vesnin, “Virtual and universal braid groups, their quotients and representations”, Journal of Group Theory, 2022  crossref
    7. V. Bardakov, T. Nasybullov, “Multi-switches and virtual knot invariants”, Topology Appl., 293 (2021), 107552  crossref  mathscinet  isi  scopus
    8. D A Baev, L V Cherckesova, O A Safaryan, V O Kravchenko, P V Razumov, “Modification of Anshel-Anshel-Goldfeld Postquantum Algorithm / Protocol Based on Algebraic Braid Groups, in Order to the Span–Cyberattack Neutralization”, J. Phys.: Conf. Ser., 2131:2 (2021), 022079  crossref
    9. V. G. Bardakov, T. R. Nasybullov, “Multi-switches, representations of virtual braids, and invariants of virtual links”, Algebra and Logic, 59:4 (2020), 341–345  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и логика Algebra and Logic
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