David Garber, Arkadius Kalka, Eran Liberman, Mina Teicher
Published 2013-10-03, updated 2015-05-23Version 4
We characterize the double centralizer of all parabolic subgroups of the braid groups. We apply this result to provide a new and potentially more efficient solution to the subgroup conjugacy problem for parabolic subgroups. In the course of the proof we also characterize the centralizer for all parabolic subgroups which seems to have been done so far only for parabolic subgroups with connected associated Coxeter graph.
Comments: 19 pages, 7 figures. We generalized the result to all parabolic subgroups. We also changed the title
Irreducible representations of the braid group $B_3$ in dimension 6
On word reversing in braid groups
The 6-strand braid group is CAT(0)
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