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On homotopy braids Full article

Journal Forum Mathematicum
ISSN: 0933-7741 , E-ISSN: 1435-5337
Output data Year: 2022, Volume: 34, Number: 2, Pages: 447-454 Pages count : 8 DOI: 10.1515/forum-2021-0069
Tags Homotopy braid; reduced free group; word problem
Authors Bardakov V.G. 1,2,3,4 , Vershinin V.V. 5,2 , Wu J. 6,7
Affiliations
1 Novosibirsk State University, Pirogova str. 1, Novosibirsk, 630090, Russian Federation
2 Sobolev Institute of Mathematics, prosp. Koptyuga 4, Novosibirsk, 630090, Russian Federation
3 Novosibirsk State Agrarian University, Dobrolyubova street, 160, Novosibirsk, 630039, Russian Federation
4 Regional Scientific and Educational Mathematical Center, Tomsk State University, 36 Lenin Ave., Tomsk, Russian Federation
5 Département des Sciences Mathématiques, Université Montpellier II, Place Eugène Bataillon, Montpellier cedex 5, 34095, France
6 Center for Topology and Geometry Based Technology, Hebei Normal University, No. 20 Road East, 2nd Ring South, Yuhua District, Hebei, Shijiazhuang, 050024, China
7 School of Mathematical Sciences, Hebei Normal University, No. 20 Road East, 2nd Ring South, Yuhua District, Hebei, Shijiazhuang, 050024, China

Funding (1)

1 Tomsk State University 075-02-2021-1392

Abstract: The homotopy braid group Bnis the subject of the paper. First, the linearity of Bnover the integers is proved. Then we prove that the group B3is torsion free. © 2022 De Gruyter. All rights reserved.
Cite: Bardakov V.G. , Vershinin V.V. , Wu J.
On homotopy braids
Forum Mathematicum. 2022. V.34. N2. P.447-454. DOI: 10.1515/forum-2021-0069 WOS Scopus РИНЦ OpenAlex
Identifiers:
Web of science: WOS:000746117800001
Scopus: 2-s2.0-85123984626
Elibrary: 48147621
OpenAlex: W4206950955
Citing: Пока нет цитирований
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