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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 8 scientific papers (total in 8 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 (8)
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DOI: https://doi.org/10.17377/alglog.2017.56.501
Abstract: We study a representation of the virtual braid group $VB_n$ 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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\vol 56
\issue 5
\pages 539--547
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\transl
\jour Algebra and Logic
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\vol 56
\issue 5
\pages 355--361
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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