Lifting Theorem for the Virtual Pure Braid Groups Full article
Journal |
Chinese Annals of Mathematics. Series B
ISSN: 0252-9599 |
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Output data | Year: 2025, Volume: 46, Number: 1, Pages: 85-114 Pages count : 30 DOI: 10.1007/s11401-025-0005-4 | ||||||||||
Tags | Virtual braid group, Pure braid group, Simplicial group, Virtual cabling | ||||||||||
Authors |
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Affiliations |
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Funding (1)
1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
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.
Cite:
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 РИНЦ OpenAlex
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 РИНЦ OpenAlex
Dates:
Submitted: | May 30, 2022 |
Published print: | Jan 16, 2025 |
Published online: | Mar 4, 2025 |
Identifiers:
Web of science: | WOS:001437278700008 |
Scopus: | 2-s2.0-86000087315 |
Elibrary: | 81542603 |
OpenAlex: | W4408108661 |