On 3-strand singular pure braid group
2020 ◽
Vol 29
(10)
◽
pp. 2042001
Keyword(s):
In this paper, we study the singular pure braid group [Formula: see text] for [Formula: see text]. We find generators, defining relations and the algebraical structure of these groups. In particular, we prove that [Formula: see text] is a semi-direct product [Formula: see text], where [Formula: see text] is an HNN-extension with base group [Formula: see text] and cyclic associated subgroups. We prove that the center [Formula: see text] of [Formula: see text] is a direct factor in [Formula: see text].
2020 ◽
Vol 29
(10)
◽
pp. 2042002
2019 ◽
Vol 19
(02)
◽
pp. 2050036
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Keyword(s):
2020 ◽
Vol 29
(01)
◽
pp. 1950097
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2005 ◽
Vol 14
(08)
◽
pp. 1087-1098
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Keyword(s):
Keyword(s):