Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904127 | Topology and its Applications | 2018 | 14 Pages |
Abstract
Let WBn be the welded (or loop) braid group on n strands, nâ¥3. We investigate commutator subgroup of WBn, WBnâ². We prove that WBnâ² is finitely generated and Hopfian. We show that WBnâ² is perfect if and only if nâ¥5. We also compute finite presentation for FWBnâ², the commutator subgroup of the flat welded braid group FWBn. Along the way, we investigate adorability of these groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Soumya Dey, Krishnendu Gongopadhyay,