Commutator subgroups of welded braid groups

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DC Field	Value	Language
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.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.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.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
Appears in Collections:	Research Articles

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