Virtual link groups

V. G. Bardakov, Yu A. Mikhalchishina, M. V. Neshchadim

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)765-777
Number of pages13
JournalSiberian Mathematical Journal
Volume58
Issue number5
DOIs
Publication statusPublished - 1 Sep 2017

Keywords

  • group
  • link
  • virtual knot

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