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arxiv: 1310.0936 · v5 · pith:EOEI3UCVnew · submitted 2013-10-03 · 🧮 math.GR · math.AT

Double Centralizers of Parabolic Subgroups of Braid Groups

David Garber , Arkadius Kalka , Eran Liberman , Mina Teicher This is my paper
classification 🧮 math.GR math.AT
keywords parabolicsubgroupsbraidcentralizercharacterizedoublegroupsapply
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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.

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