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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 989–1003
DOI: https://doi.org/10.17377/smzh.2017.58.503 (Mi smj2913) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Virtual link groups

V. G. Bardakovabc, Yu. A. Mikhalchishinac, M. V. Neshchadimab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Novosibirsk State University of Agriculture, Novosibirsk, Russia
Full-text PDF (362 kB) Citations (12)
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DOI: https://doi.org/10.17377/smzh.2017.58.503
Abstract: The authors have previously constructed two representations of the virtual braid group into the automorphism group of the free product of a free group and a free abelian group. Using them, we construct the two groups, each of which is a virtual link invariant. By the example of the virtual trefoil knot we show that the constructed groups are not isomorphic, and establish a connection between these groups as well as their connection with the group of the virtual trefoil knot which was defined by Carter, Silver, and Williams.
Keywords: virtual knot, link, group.
Funding agency Grant number
Russian Science Foundation 16-41-02006
The authors were supported by the Russian Science Foundation (Grant 16-41-02006).
Received: 24.01.2017
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 765–777
DOI: https://doi.org/10.1134/S0037446617050032
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 35R30
Language: Russian
Citation: V. G. Bardakov, Yu. A. Mikhalchishina, M. V. Neshchadim, “Virtual link groups”, Sibirsk. Mat. Zh., 58:5 (2017), 989–1003; Siberian Math. J., 58:5 (2017), 765–777
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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