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- Title
Representations of virtual braids by automorphisms and virtual knot groups.
- Authors
Bardakov, Valeriy G.; Mikhalchishina, Yuliya A.; Neshchadim, Mikhail V.
- Abstract
In the present paper, a new representation of the virtual braid group into the automorphism group of free product of the free group and free abelian group is constructed. This representation generalizes the previously constructed ones. The fact that the previously known representations are not faithful for is verified. Using representations of , a virtual link group is defined. Also representations of the welded braid group are constructed and the welded link group is defined.
- Subjects
BRAID theory; AUTOMORPHISMS; KNOT groups; INVARIANTS (Mathematics); ALGORITHMS
- Publication
Journal of Knot Theory & Its Ramifications, 2017, Vol 26, Issue 1, p-1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216517500031