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The braid group of Z(n)
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Krammer, Daan (2007) The braid group of Z(n). Journal of the London Mathematical Society, Vol.76 (Part 2). pp. 293-312. doi:10.1112/jlms/jdm049 ISSN 0024-6107.
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Official URL: http://dx.doi.org/10.1112/jlms/jdm049
Abstract
We define pseudo-Garside groups and prove a theorem parallel to Garside's result on the word problem for the usual braid groups. The main novelty is that the set of simple elements can be infinite. A group B = B(Z(n)) called the braid group of Zn and which resembles mapping class groups is introduced. It is to GL(n, Z) what the braid group is to the symmetric group S-n. We prove that B is a pseudo-Garside group. We give a small presentation for B(Z(n)) assuming one for B(Z(3)) is given.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of the London Mathematical Society | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 0024-6107 | ||||
Official Date: | October 2007 | ||||
Dates: |
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Volume: | Vol.76 | ||||
Number: | Part 2 | ||||
Number of Pages: | 20 | ||||
Page Range: | pp. 293-312 | ||||
DOI: | 10.1112/jlms/jdm049 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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