A Representation of Virtual Braids by Automorphisms

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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.

Original languageEnglish
Pages (from-to)355-361
Number of pages7
JournalAlgebra and Logic
Volume56
Issue number5
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • automorphism group
  • representation
  • virtual braid group

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