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Artin groups of large type are shortlex automatic with regular geodesics
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Holt, Derek F. and Rees, Sarah (2012) Artin groups of large type are shortlex automatic with regular geodesics. Proceedings of the London Mathematical Society, Vol.104 (No.3). pp. 486-512. doi:10.1112/plms/pdr035 ISSN 0024-6115 .
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Official URL: http://dx.doi.org/10.1112/plms/pdr035
Abstract
We prove that any Artin group of large type is shortlex automatic with respect to its standard generating set, and that the set of all geodesic words over the same generating set satisfies the Falsification by Fellow-Traveller Property (FFTP) and hence is regular.
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: | Proceedings of the London Mathematical Society | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0024-6115 | ||||
Official Date: | March 2012 | ||||
Dates: |
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Volume: | Vol.104 | ||||
Number: | No.3 | ||||
Page Range: | pp. 486-512 | ||||
DOI: | 10.1112/plms/pdr035 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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