@article{963276d2de9a4ab891c83b48be73c87c,
title = "On homotopy braids",
abstract = "The homotopy braid group Bn is the subject of the paper. First, the linearity of Bn over the integers is proved. Then we prove that the group B3 is torsion free. ",
keywords = "Homotopy braid, reduced free group, word problem",
author = "Bardakov, {Valeriy G.} and Vershinin, {Vladimir V.} and Jie Wu",
note = "The first author is supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2021-1392). The last author is partially supported by High-level Scientific Research Foundation of Hebei Province and a grant (No. 11971144) of NSFC of China. Publisher Copyright: {\textcopyright} 2022 De Gruyter. All rights reserved.",
year = "2022",
month = mar,
day = "1",
doi = "10.1515/forum-2021-0069",
language = "English",
volume = "34",
pages = "447--454",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "Walter de Gruyter",
number = "2",
}