The language of geodesics for Garside groups

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Abstract
  • We prove that the language of all geodesics of any Garside group, with respect to the generating set of divisors of the Garside element, forms a regular language. In particular, the braid groups admit generating sets where the associated language of geodesics is regular.
TitleThe language of geodesics for Garside groups
CreatorMeier, John
Charney, R.
PublisherMathematische Zeitschrift
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedNovember 2004
Date Available2023-04-17
TypeArticle
LanguageEnglish
Bibliographic CitationCharney, R. and J. Meier (2004 Nov.) "The language of geodesics for Garside groups." Mathematische Zeitschrift 248 (3): 495-509.
Standard IdentifierHandle 10385/ww72bc868
DOI 10.1007/s00209-004-0666-8
Permalinkhttp://hdl.handle.net/10385/ww72bc868
Rights Statement In Copyright In Copyright
Rights HoldersSpringer Nature Switzerland AG
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