The virtual and universal braids
| dc.creator | Bardakov, Valerij G. | |
| dc.date | 2004-07-23 | |
| dc.date.accessioned | 2026-07-07T05:10:37Z | |
| dc.date.available | 2026-07-07T05:10:37Z | |
| dc.description | We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi--direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi--direct product of free groups. From these results we obtain a normal form of words in the virtual braid group. We introduce the concept of a universal braid group. This group contains the classical braid group and has as its quotient groups the singular braid group, virtual braid group, welded braid group, and classical braid group. | |
| dc.description | 20 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0407400 | |
| dc.identifier | http://arxiv.org/abs/math/0407400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71982 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F36; 20F05; 20F10 | |
| dc.title | The virtual and universal braids | |
| dc.type | text |