TY - JOUR
T1 - On the new representation of the virtual braid group
AU - Alexandrovich, Korobov Alexei
AU - Alexeevich, Korobov Oleg
PY - 2019/1/1
Y1 - 2019/1/1
N2 - We propose a representation of the virtual braid group V Bn 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 ϕM of the virtual braid group V Bn into the automorphism group of a free product of a free group and a free Abelian group. Our representation generalizes this representation ϕM. It is proved that the kernel of new representation is contained in the kernel of representation ϕM. It is proved that natural genetic code of image of the virtual braid group V Bn with respect to new representation has strong symmetry
AB - We propose a representation of the virtual braid group V Bn 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 ϕM of the virtual braid group V Bn into the automorphism group of a free product of a free group and a free Abelian group. Our representation generalizes this representation ϕM. It is proved that the kernel of new representation is contained in the kernel of representation ϕM. It is proved that natural genetic code of image of the virtual braid group V Bn with respect to new representation has strong symmetry
KW - Braids
KW - Representations by automorphisms
KW - Virtual braids
KW - braids
KW - virtual braids
KW - representations by automorphisms
KW - ALEXANDER GROUPS
UR - http://www.scopus.com/inward/record.url?scp=85071163228&partnerID=8YFLogxK
UR - https://www.elibrary.ru/item.asp?id=42735100
U2 - 10.33048/semi.2019.16.056
DO - 10.33048/semi.2019.16.056
M3 - Article
AN - SCOPUS:85071163228
VL - 16
SP - 863
EP - 875
JO - Siberian Electronic Mathematical Reports
JF - Siberian Electronic Mathematical Reports
SN - 1813-3304
ER -