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Artin groups of large type are shortlex automatic with regular geodesics

Lookup NU author(s): Professor Sarah Rees

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Abstract

We prove that any Artin group of large type is shortlex automaticwith respect to its standard generating set, and that the set of all geodesicwords over the same generating set satisfies the Falsification byFellow-Traveller Property (FFTP) and hence is regular.

Publication metadata

Author(s): Holt DF, Rees S

Publication type: Article

Publication status: Published

Journal: Proceedings of the London Mathematical Society

Year: 2012

Volume: 104

Issue: 3

Pages: 486-512

Print publication date: 30/09/2011

ISSN (print): 0024-6115

ISSN (electronic): 1460-244X

Publisher: Oxford University Press

URL: http://dx.doi.org/10.1112/plms/pdr035

DOI: 10.1112/plms/pdr035

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