On the new representation of the virtual braid group

We propose a representation of the virtual braid group $V B_n$ into the automorphism group of a free product of a free groups and a free Abelian groups. V. G. Bardakov, Yu. A. Mikhalchishina and M. V. Neshchadim proposed a representation $\varphi_{M}$ of the virtual braid group $V B_n$ into the automorphism group of a free product of a free group and a free Abelian group. Our representation generalizes this representation $\varphi_{M}$. It is proved that the kernel of new representation is contained in the kernel of representation $\varphi_{M}$. It is proved that natural genetic code of image of the virtual braid group $V B_n$ with respect to new representation has strong symmetry.