On some decompositions of the 3-strand singular braid group
| dc.contributor.author | Gongopadhyay, Krishnendu | |
| dc.date.accessioned | 2020-12-16T07:05:39Z | |
| dc.date.available | 2020-12-16T07:05:39Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Let SBn be the singular braid group generated by braid generators σi and singular braid generators τi, 1≤i≤n−1. Let STn denote the group that is the kernel of the homomorphism that maps, for each i, σi to the cyclic permutation (i,i+1) and τi to 1. In this paper we investigate the group ST3. We obtain a presentation for ST3. We prove that ST3 is isomorphic to the singular pure braid group SP3 on 3 strands. We also prove that the group ST3 is semi-direct product of a subgroup H and an infinite cyclic group, where the subgroup H is an HNN-extension of Z2⁎Z2. | en_US |
| dc.identifier.citation | Topology and its Applications, 283. | en_US |
| dc.identifier.other | https://doi.org/10.1016/j.topol.2020.107398 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0166864120303400?via%3Dihub | |
| dc.identifier.uri | http://hdl.handle.net/123456789/3167 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.subject | Braid group | en_US |
| dc.subject | Monoid of singular braids | en_US |
| dc.subject | Singular pure braid group | en_US |
| dc.title | On some decompositions of the 3-strand singular braid group | en_US |
| dc.type | Article | en_US |