Article ID Journal Published Year Pages File Type
8904127 Topology and its Applications 2018 14 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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