On 3-strand singular pure braid group

Valeriy G. Bardakov; Tatyana A. Kozlovskaya

doi:10.1142/S0218216520420018

On 3-strand singular pure braid group

Valeriy G. Bardakov, Tatyana A. Kozlovskaya

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Номер статьи	2042001
Число страниц	20
Журнал	Journal of Knot Theory and its Ramifications
Том	29
Номер выпуска	10
DOI	https://doi.org/10.1142/S0218216520420018
Состояние	Опубликовано - сен 2020

Доступ к документу

10.1142/S0218216520420018

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