Virtual link groups

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

Результат исследования: Научные публикации в периодических изданияхстатья

4 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)765-777
Число страниц13
ЖурналSiberian Mathematical Journal
Том58
Номер выпуска5
DOI
СостояниеОпубликовано - 1 сен 2017

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