publication:

Artin groups of large type are shortlex automatic with regular geodesics (2012)

Author(s): Holt DF, Rees S

  • : Artin groups of large type

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.

  • Short Title: Artin groups of large type
  • Date: 30-09-2011
  • Journal: Proceedings of the London Mathematical Society
  • Volume: 104
  • Issue: 3
  • Pages: 486-512
  • Publisher: Oxford University Press
  • Publication type: Article
  • Bibliographic status: Published

Keywords: Artin groups, automatic, geodesics

Staff

Professor Sarah Rees
Professor of Pure Mathematics