Аннотация
In the present paper, a new representation of the virtual braid group VBn into the automorphism group of free product of the free group and free abelian group is constructed. This representation generalizes the previously constructed ones. The fact that the previously known representations are not faithful for n ≥ 4 is verified. Using representations of VBn, a virtual link group is defined. Also representations of the welded braid group WBn are constructed and the welded link group is defined.
Язык оригинала | английский |
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Номер статьи | 1750003 |
Число страниц | 17 |
Журнал | Journal of Knot Theory and its Ramifications |
Том | 26 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 янв 2017 |