Geodesic
A representation of virtual braids by automorphisms
Algebra i logika, Tome 56 (2017) no. 5, pp. 539-547

Voir la notice de l'article provenant de la source Math-Net.Ru

We study a representation of the virtual braid group $VB_n$ 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.
Keywords: virtual braid group, representation.
Mots-clés : automorphism group 
@article{AL_2017_56_5_a0,
     author = {V. G. Bardakov and M. V. Neshchadim},
     title = {A~representation of virtual braids by automorphisms},
     journal = {Algebra i logika},
     pages = {539--547},
     publisher = {mathdoc},
     volume = {56},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_5_a0/}
}
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V. G. Bardakov; M. V. Neshchadim. A representation of virtual braids by automorphisms. Algebra i logika, Tome 56 (2017) no. 5, pp. 539-547. http://geodesic.mathdoc.fr/item/AL_2017_56_5_a0/