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Double Centralizers of Parabolic Subgroups of Braid Groups

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Author(s): David Garber , Arkadius Kalka , Eran Liberman , Mina Teicher

Publication date Created: 03 October 2013

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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 references 13

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THE BRAID GROUP AND OTHER GROUPS

F. GARSIDE (1969)

0 comments Cited 150 times – based on 0 reviews      Review now

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New Public-Key Cryptosystem Using Braid Groups

Ki Ko, Sang Lee, Jung Cheon … (2000)

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A new approach to the conjugacy problem in Garside groups

Volker Gebhardt (2005)

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Author and article information

Journal

Publication date Created: 03 October 2013

Publication date Updated: 2015-06-13

Article

ArXiV ID: 1310.0936

SO-VID: 6952f13b-8e85-4f9e-ba75-ca11558501fc

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Custom metadata

ACM classes 20F36

Comments 19 pages, 7 figures. Added Remark 3.4. Shortened abstract

Categories math.GR math.AT

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