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Virtual link groups. / Bardakov, V. G.; Mikhalchishina, Yu A.; Neshchadim, M. V.

In: Siberian Mathematical Journal, Vol. 58, No. 5, 01.09.2017, p. 765-777.

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Harvard

Bardakov, VG, Mikhalchishina, YA & Neshchadim, MV 2017, 'Virtual link groups', Siberian Mathematical Journal, vol. 58, no. 5, pp. 765-777. https://doi.org/10.1134/S0037446617050032

APA

Bardakov, V. G., Mikhalchishina, Y. A., & Neshchadim, M. V. (2017). Virtual link groups. Siberian Mathematical Journal, 58(5), 765-777. https://doi.org/10.1134/S0037446617050032

Vancouver

Bardakov VG, Mikhalchishina YA, Neshchadim MV. Virtual link groups. Siberian Mathematical Journal. 2017 Sept 1;58(5):765-777. doi: 10.1134/S0037446617050032

Author

Bardakov, V. G. ; Mikhalchishina, Yu A. ; Neshchadim, M. V. / Virtual link groups. In: Siberian Mathematical Journal. 2017 ; Vol. 58, No. 5. pp. 765-777.

BibTeX

@article{c80719e807c743d38ce460779e9f17c5,

title = "Virtual link groups",

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 = "group, link, virtual knot",

author = "Bardakov, {V. G.} and Mikhalchishina, {Yu A.} and Neshchadim, {M. V.}",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = sep,

day = "1",

doi = "10.1134/S0037446617050032",

language = "English",

volume = "58",

pages = "765--777",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "5",

}

RIS

TY - JOUR

T1 - Virtual link groups

AU - Bardakov, V. G.

AU - Mikhalchishina, Yu A.

AU - Neshchadim, M. V.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - group

KW - link

KW - virtual knot

UR - http://www.scopus.com/inward/record.url?scp=85032004114&partnerID=8YFLogxK

U2 - 10.1134/S0037446617050032

DO - 10.1134/S0037446617050032

M3 - Article

AN - SCOPUS:85032004114

VL - 58

SP - 765

EP - 777

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 9033472