The purpose of this article is to extend the results of [9] to cover a larger class of. Artin groups. It was proved there that every Artin group of large ...
May 2, 2013 · Shortlex automaticity and regularity of geodesics in a family of Artin groups that includes all groups of large type but also allows some commuting pairs of ...
Shortlex automaticity and geodesic regularity in Artin groups. Derek F. Holt and Sarah Rees. Keywords. Artin groups, automatic group, geodesics, shortlex ...
Mar 31, 2010 · 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 ...
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Nov 12, 2010 · L is certainly regular, prefix closed, contains the shortlex minimal rep- resentative of any group element. Standard computations on automata.
Mar 31, 2010 · In this article we consider Artin groups of large type, in their standard pre- sentations. The standard presentation for an Artin group over ...
Derek F. Holt and Sarah Rees, Shortlex automaticity and geodesic regularity in Artin groups, Groups, Complexity and Cryptology 5 (2013) 1--23. Laura Ciobanu ...
2012. Artin groups of large type are shortlex automatic with regular geodesics. Proceedings of the London Mathematical Society, 104(Mar), 486—-512.
Mar 12, 2024 · D. Holt and S. Rees. Shortlex automaticity and geodesic regularity in Artin groups, Groups Complex. Cryptol. 05 (2013), 1--3.
Sep 22, 2018 · Sufficiently large Artin groups are shortlex automatic, with regular geodesics. We identify the set of shortlex geodesics as the set of ...