Artin groups of large type are shortlex automatic with regular geodesics
Derek F. Holt and Sarah Rees
Keywords
Artin groups, automatic, shortlex, regular, geodesics
Status
Proceedings of the LMS 104 (2012) 486--512
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.
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