On 3-strand singular pure braid group

Valeriy G. Bardakov, Tatyana A. Kozlovskaya

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In this paper, we study the singular pure braid group SPn for n = 2, 3. We find generators, defining relations and the algebraical structure of these groups. In particular, we prove that SP3 is a semi-direct product SP3 = V3, where V3 is an HNN-extension with base group;2-Z&2 and cyclic associated subgroups. We prove that the center Z(SP3) of SP3 is a direct factor in SP3.

Original languageEnglish
Article number2042001
Number of pages20
JournalJournal of Knot Theory and its Ramifications
Issue number10
Publication statusPublished - Sep 2020


  • Braid group
  • monoid of singular braids
  • singular pure braid group


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