Email this article A Representation of Virtual Braids by Automorphisms
- Authors: Bardakov V.G.1,2,3, Neshchadim M.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Novosibirsk State Agrarian University
- Issue: Vol 56, No 5 (2017)
- Pages: 355-361
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234052
- DOI: https://doi.org/10.1007/s10469-017-9457-2
- ID: 234052
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Abstract
We study a representation of the virtual braid group VBn into the automorphism group of a free product of a free group and a free Abelian group, proposed by S. Kamada. It is proved that the given representation is equivalent to the representation constructed in [http://arxiv.org/abs/1603.01425]; i.e. the kernels of these representations coincide.
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About the authors
V. G. Bardakov
Sobolev Institute of Mathematics; Novosibirsk State University; Novosibirsk State Agrarian University
Author for correspondence.
Email: bardakov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090; ul. Dobrolyubova 160, Novosibirsk, 630039
M. V. Neshchadim
Sobolev Institute of Mathematics; Novosibirsk State University
Email: bardakov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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