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On homotopy braids - MaRDI portal

On homotopy braids

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Publication:6347280

DOI10.1515/FORUM-2021-0069arXiv2008.07806MaRDI QIDQ6347280

Vladimir V. Vershinin, V. G. Bardakov, J. Wu

Publication date: 18 August 2020

Abstract: Homotopy braid group is the subject of the paper. First, linearity of homotopy braid group over the integers is proved. Then we prove that the group homotopy braid group on three strands is torsion free.





Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Knot theory (57K10)








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