Artin groups of large type are shortlex automatic with regular geodesics
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. ISSN 0024-6115Full text not available from this repository.
Official URL: http://dx.doi.org/10.1112/plms/pdr035
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|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Journal or Publication Title:||Proceedings of the London Mathematical Society|
|Publisher:||Cambridge University Press|
|Page Range:||pp. 486-512|
|Access rights to Published version:||Restricted or Subscription Access|
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