Lifting Theorem for the Virtual Pure Braid Groups | Sciact - Система учета научной деятельности ИМ СО РАН

Lifting Theorem for the Virtual Pure Braid Groups Научная публикация

Журнал

Chinese Annals of Mathematics. Series B
ISSN: 0252-9599

Вых. Данные

Год: 2025, Том: 46, Номер: 1, Страницы: 85-114 Страниц : 30 DOI: 10.1007/s11401-025-0005-4

Ключевые слова

Virtual braid group, Pure braid group, Simplicial group, Virtual cabling

Авторы

Bardakov Valeriy G. ^1,2,3 , Wu Jie ^4,5

Организации

1	Sobolev Institute of Mathematics
2	Tomsk State University
3	Novosibirsk State Agrarian University
4	School of Mathematical Sciences, Center of Topology and Geometry Based Technology Hebei Normal University
5	Beijing Institute of Mathematical Sciences and Applications

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0009

In this article the authors prove theorem on Lifting for the set of virtual pure braid groups. This theorem says that if they know presentation of virtual pure braid group VP4, then they can find presentation of V Pn for arbitrary n > 4. Using this theorem they f ind the set of generators and defining relations for simplicial group T∗ which was defined in [Bardakov, V. G. and Wu, J., On virtual cabling and structure of 4-strand virtual pure braid group, J. Knot Theory and Ram., 29(10), 2020, 1–32]. They find a decomposition of the Artin pure braid group Pn in semi-direct product of free groups in the cabled generators.

Bardakov V.G. , Wu J.
Lifting Theorem for the Virtual Pure Braid Groups
Chinese Annals of Mathematics. Series B. 2025. V.46. N1. P.85-114. DOI: 10.1007/s11401-025-0005-4 WOS Scopus OpenAlex

Поступила в редакцию:	30 мая 2022 г.
Опубликована в печати:	16 янв. 2025 г.
Опубликована online:	4 мар. 2025 г.

Web of science:	WOS:001437278700008
Scopus:	2-s2.0-86000087315
OpenAlex:	W4408108661

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