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Shortlex automaticity and geodesic regularity in Artin groups

Lookup NU author(s): Professor Sarah Rees

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Abstract

We extend results of [Proc. Lond. Math. Soc. 104 (2012), 486–512] and prove 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 generators.

Publication metadata

Author(s): Holt DF, Rees S

Publication type: Article

Publication status: Published

Journal: Groups Complexity Cryptology

Year: 2013

Volume: 5

Issue: 1

Pages: 1-23

Print publication date: 01/05/2013

ISSN (print): 1867-1144

ISSN (electronic): 1869-6104

Publisher: Walter de Gruyter GmbH

URL: http://dx.doi.org/10.1515/gcc-2013-0001

DOI: 10.1515/gcc-2013-0001

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