Soumya Dey, Krishnendu Gongopadhyay
Published 2017-04-12Version 1
We investigate commutator subgroups of some generalized braid groups. Let $WB_n'$ be the commutator subgroup of welded (or loop) braid group on n strands. We prove that $WB_n'$ is Hopfian and for $n \geq 5$, it is perfect. We compute finite presentations for commutator subgroups of flat virtual and flat welded braid groups. We also investigate adorability of these groups.
Commutator Subgroups of Twin Groups and Grothendieck's Cartographical groups
The commutator subgroups of free groups and surface groups
Conjugation-invariant norms on the commutator subgroup of the infinite braid group
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