On virtual cabling and a structure of 4-strand virtual pure braid group

Valeriy G. Bardakov; Jie Wu

doi:10.1142/S021821652042002X

On virtual cabling and a structure of 4-strand virtual pure braid group

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

Аннотация

This paper is dedicated to cabling on virtual braids. This construction gives a new generating set for the virtual pure braid group VPn. We define simplicial group VP∗ and its simplicial subgroup T∗ which is generated by VP₂. Consequently, we describe VP₄ as HNN-extension and find presentation of T₂ and T₃. As an application to classical braids, we find a new presentation of the Artin pure braid group P₄ in terms of the cabled generators.

Язык оригинала	английский
Номер статьи	2042002
Число страниц	32
Журнал	Journal of Knot Theory and its Ramifications
Том	29
Номер выпуска	10
DOI	https://doi.org/10.1142/S021821652042002X
Состояние	Опубликовано - сен 2020

Доступ к документу

10.1142/S021821652042002X

Link to publication in Scopus

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