On the structure of the centralizer of a braid
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Publication:4651829
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
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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- Abelian and solvable subgroups of the mapping class group
- A new approach to the word and conjugacy problems in the braid groups
- Geometric subgroups of surface braid groups
- Train-tracks for surface homeomorphisms
- Some subgroups of Artin's braid group
- The cohomology ring of the colored braid group
- Conjugacy problem for braid groups and Garside groups.
- Springer theory in braid groups and the Birman-Ko-Lee monoid.
- Computation of centralizers in braid groups and Garside groups.
- The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
- Centralisers in the braid group and singular braid monoid
- Über Normalisatoren der Zopfgruppe
- A new approach to the conjugacy problem in Garside groups.
- An Implementation of the Bestvina–Handel Algorithm for Surface Homeomorphisms
- On the geometry and dynamics of diffeomorphisms of surfaces
- Combinatorics of Train Tracks. (AM-125)
- Braids, Links, and Mapping Class Groups. (AM-82)
- ALGORITHMS FOR POSITIVE BRAIDS
- QUASIPOSITIVITY TEST VIA UNITARY REPRESENTATIONS OF BRAID GROUPS AND ITS APPLICATIONS TO REAL ALGEBRAIC CURVES
- EXTRACTION OF ROOTS IN GARSIDE GROUPS
- Pseudo-Anosov Maps and Invariant Train Tracks in the Disc: A Finite Algorithm
- Sur les transformations périodiques de la surface de sphère
- BRAIDS AND THE NIELSEN-THURSTON CLASSIFICATION
- THE BRAID GROUP AND OTHER GROUPS
