On 3-strand singular pure braid group

Standard

On 3-strand singular pure braid group. / Bardakov, Valeriy G.; Kozlovskaya, Tatyana A.

In: Journal of Knot Theory and its Ramifications, Vol. 29, No. 10, 2042001, 09.2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, VG & Kozlovskaya, TA 2020, 'On 3-strand singular pure braid group', Journal of Knot Theory and its Ramifications, vol. 29, no. 10, 2042001. https://doi.org/10.1142/S0218216520420018

APA

Bardakov, V. G., & Kozlovskaya, T. A. (2020). On 3-strand singular pure braid group. Journal of Knot Theory and its Ramifications, 29(10), [2042001]. https://doi.org/10.1142/S0218216520420018

Vancouver

Bardakov VG, Kozlovskaya TA. On 3-strand singular pure braid group. Journal of Knot Theory and its Ramifications. 2020 Sept;29(10):2042001. doi: 10.1142/S0218216520420018

Author

Bardakov, Valeriy G. ; Kozlovskaya, Tatyana A. / On 3-strand singular pure braid group. In: Journal of Knot Theory and its Ramifications. 2020 ; Vol. 29, No. 10.

BibTeX

@article{ee87d2ecb19048a18a4df29d03bd10cf,

title = "On 3-strand singular pure braid group",

abstract = "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. ",

keywords = "Braid group, monoid of singular braids, singular pure braid group, MONOIDS",

author = "Bardakov, {Valeriy G.} and Kozlovskaya, {Tatyana A.}",

year = "2020",

month = sep,

doi = "10.1142/S0218216520420018",

language = "English",

volume = "29",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "10",

}

RIS

TY - JOUR

T1 - On 3-strand singular pure braid group

AU - Bardakov, Valeriy G.

AU - Kozlovskaya, Tatyana A.

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 -

ID: 25849064