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arXiv · 1310.0936

Double Centralizers of Parabolic Subgroups of Braid Groups

David Garber·Arkadius Kalka·Eran Liberman·Mina Teicher
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Abstract

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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David Garber, Arkadius Kalka, Eran Liberman, Mina Teicher. 2013-10-03. Double Centralizers of Parabolic Subgroups of Braid Groups. https://arxiv.org/abs/1310.0936

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