Artin groups of large type are shortlex automatic with regular geodesics

Details Artin groups of large type are shortlex automatic with regular geodesics Artin groups of large type are shortlex automatic with regular geodesics

2010-03-31

arxiv.org/abs/1003.6007v1

Mathematics

Group Theory

40 pages, 5 figures

Scientific paper

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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