TY - JOUR
T1 - On 3-strand singular pure braid group
AU - Bardakov, Valeriy G.
AU - Kozlovskaya, Tatyana A.
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/9
Y1 - 2020/9
N2 - 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.
AB - 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.
KW - Braid group
KW - monoid of singular braids
KW - singular pure braid group
KW - MONOIDS
UR - http://www.scopus.com/inward/record.url?scp=85092071457&partnerID=8YFLogxK
U2 - 10.1142/S0218216520420018
DO - 10.1142/S0218216520420018
M3 - Article
AN - SCOPUS:85092071457
VL - 29
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
SN - 0218-2165
IS - 10
M1 - 2042001
ER -