On the structure of the centralizer of a braid

DOI10.1016/j.ansens.2004.04.002zbMath1082.20024arXivmath/0305156OpenAlexW2061387165WikidataQ59275315 ScholiaQ59275315MaRDI QIDQ4651829

Juan González-Meneses, Bert Wiest

Publication date: 22 February 2005

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305156

zbMATH Keywords

Artin groupsgenerating setscentralizersmixed braid groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36)

Related Items

On the centralizer of generic braids ⋮ The \(n\)th root of a braid is unique up to conjugacy. ⋮ Computation of centralizers in braid groups and Garside groups. ⋮ Conjugacy in relatively extra-large Artin groups ⋮ Presentations of Dehn quandles ⋮ Subsymmetric exchanged braids and the Burau matrix ⋮ Moduli spaces and braid monodromy types of bidouble covers of the quadric ⋮ Conjugacy search in braid groups. From a braid-based cryptogrphy point of view ⋮ Automorphism group of the commutator subgroup of the braid group ⋮ Minimal generating and normally generating sets for the braid and mapping class groups of \(\mathbb D^2\), \(\mathbb S^2\) and \(\mathbb RP^2\). ⋮ Finite orbits of Hurwitz actions on braid systems. ⋮ Some well-posed Cauchy problem for second order hyperbolic equations with two independent variables ⋮ Reducible braids and Garside theory. ⋮ CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES ⋮ Injectivity on the set of conjugacy classes of some monomorphisms between Artin groups. ⋮ Basic results on braid groups. ⋮ Uniqueness of roots up to conjugacy for some affine and finite type Artin groups. ⋮ The lift invariant distinguishes components of Hurwitz spaces for $A_5$ ⋮ Automorphisms of braid groups on orientable surfaces ⋮ Geometric approaches to braid groups and mapping class groups ⋮ Exchangeability and Non-Conjugacy of Braid Representatives

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Cites Work

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