On the new representation of the virtual braid group

Korobov Alexei Alexandrovich; Korobov Oleg Alexeevich

doi:10.33048/semi.2019.16.056

On the new representation of the virtual braid group

Переведенное название: О новом представлении группы виртуальных кос

Korobov Alexei Alexandrovich, Korobov Oleg Alexeevich

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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 ϕ_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 ϕ_M. It is proved that the kernel of new representation is contained in the kernel of representation ϕ_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

Переведенное название	О новом представлении группы виртуальных кос
Язык оригинала	английский
Страницы (с-по)	863-875
Число страниц	13
Журнал	Сибирские электронные математические известия
Том	16
DOI	https://doi.org/10.33048/semi.2019.16.056
Состояние	Опубликовано - 1 янв 2019

Ключевые слова

Braids
Representations by automorphisms
Virtual braids

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

ГРНТИ

27.17 Алгебра

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10.33048/semi.2019.16.056

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On the new representation of the virtual braid group. / Alexandrovich, Korobov Alexei ; Alexeevich, Korobov Oleg.

В: Сибирские электронные математические известия, Том 16, 01.01.2019, стр. 863-875.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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