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 |
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Номер статьи | 2042002 |
Число страниц | 32 |
Журнал | Journal of Knot Theory and its Ramifications |
Том | 29 |
Номер выпуска | 10 |
DOI | |
Состояние | Опубликовано - сен 2020 |