Virtual link groups | Sciact

Virtual link groups Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2017, Volume: 58, Number: 5, Pages: 765-777 Pages count : 13 DOI: 10.1134/S0037446617050032

Tags

group; link; virtual knot

Authors

Bardakov V.G. ^1,2,3 , Mikhalchishina Y.A. ³ , Neshchadim M.V. ^1,2

Affiliations

1	Sobolev Institute of Mathematics
2	Novosibirsk State University
3	Novosibirsk State University of Agriculture, Novosibirsk, Russian Federation

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. © 2017, Pleiades Publishing, Ltd.

Bardakov V.G. , Mikhalchishina Y.A. , Neshchadim M.V.
Virtual link groups
Siberian Mathematical Journal. 2017. V.58. N5. P.765-777. DOI: 10.1134/S0037446617050032 WOS Scopus OpenAlex

Web of science:	WOS:000413438200003
Scopus:	2-s2.0-85032004114
OpenAlex:	W2766201438

DB	Citing
Scopus	14
OpenAlex	17
Web of science	12