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      Double Centralizers of Parabolic Subgroups of Braid Groups

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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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          Most cited references13

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          THE BRAID GROUP AND OTHER GROUPS

          F. GARSIDE (1969)
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            New Public-Key Cryptosystem Using Braid Groups

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              A new approach to the conjugacy problem in Garside groups

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                Author and article information

                Journal
                1310.0936

                Geometry & Topology,Algebra
                Geometry & Topology, Algebra

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