Commutator subgroups of welded braid groups
| dc.contributor.author | Dey, Soumya | |
| dc.contributor.author | Gongopadhyay, Krishnendu | |
| dc.date.accessioned | 2020-11-24T05:41:16Z | |
| dc.date.available | 2020-11-24T05:41:16Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Let WBn be the welded (or loop) braid group on n strands, n≥3. We investigate commutator subgroup of WBn, WBn ′. We prove that WBn ′ is finitely generated and Hopfian. We show that WBn ′ is perfect if and only if n≥5. We also compute finite presentation for FWBn ′, the commutator subgroup of the flat welded braid group FWBn. Along the way, we investigate adorability of these groups. | en_US |
| dc.identifier.citation | Topology and its Applications, 237, pp. 7-20 | en_US |
| dc.identifier.other | https://doi.org/10.1016/j.topol.2018.01.003 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0166864118300221 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2103 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier B.V. | en_US |
| dc.subject | Welded braids | en_US |
| dc.subject | Flat virtual braids | en_US |
| dc.subject | Flat welded braids | en_US |
| dc.subject | Adorability | en_US |
| dc.title | Commutator subgroups of welded braid groups | en_US |
| dc.type | Article | en_US |