The th root of a braid is unique up to conjugacy.
Gonzalez-Meneses, Juan (2003)
Algebraic & Geometric Topology
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Gonzalez-Meneses, Juan (2003)
Algebraic & Geometric Topology
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Bardakov, V.G. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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de Carvalho, André, Hall, Toby (2002)
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Paris, Luis (2004)
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Bigelow, Stephen (1999)
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Whittlesey, Kim (2000)
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Bergeron, François, Biagioli, Riccardo (2006)
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Jérôme Los (1997)
Publications Mathématiques de l'IHÉS
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Hou, Xiang-dong (2008)
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Richard Laver, Sheila Miller (2013)
Open Mathematics
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The left distributive law is the law a· (b· c) = (a·b) · (a· c). Left distributive algebras have been classically used in the study of knots and braids, and more recently free left distributive algebras have been studied in connection with large cardinal axioms in set theory. We provide a survey of results on the free left distributive algebra on one generator, A, and a new, simplified proof of the existence of a normal form for terms in A. Topics included are: the confluence of A, the...
Hamidi-Tehrani, Hessam (2002)
Algebraic & Geometric Topology
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