On parabolic subgroups of Artin-Tits groups of spherical type

DOI10.1016/j.aim.2019.06.010zbMath1498.20088arXiv1712.06727OpenAlexW2780974609WikidataQ127670895 ScholiaQ127670895MaRDI QIDQ2313355

Bert Wiest, María Cumplido, Volker Gebhardt, Juan González-Meneses

Publication date: 19 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06727

zbMATH Keywords

parabolic subgroupsArtin groupscomplex of curvesArtin-Tits groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (17)

Mini-workshop: Nonpositively curved complexes. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting) ⋮ On fusion control in FC type Artin-Tits groups ⋮ Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type ⋮ Garside groups and geometry: Some thoughts for Patrick Dehornoy ⋮ Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexes ⋮ On parabolic subgroups of Artin-Tits groups ⋮ Word problem and parabolic subgroups in Dyer groups ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Parabolic subgroups in FC-type Artin groups ⋮ Parabolic subgroups acting on the additional length graph ⋮ Tits alternative for Artin groups of type FC ⋮ Hyperbolic structures for Artin-Tits groups of spherical type ⋮ Property \(R_\infty\) for some spherical and affine Artin-Tits groups ⋮ The conjugacy stability problem for parabolic subgroups in Artin groups ⋮ Parabolic subgroups of large-type Artin groups ⋮ Intersection of parabolic subgroups in even Artin groups of FC-type ⋮ Parabolic subgroups inside parabolic subgroups of Artin groups

Cites Work

• Unnamed Item
• Conjugacy problem for braid groups and Garside groups.
• Normalizer and Artin group of spherical type.
• Artin monoids inject in their groups
• Algorithms for Garside calculus
• On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group
• Foundations of Garside theory
• A note on parabolic subgroups of a Coxeter group.
• Conjugacy in Garside groups. I: Cyclings, powers and rigidity.
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• A new approach to the conjugacy problem in Garside groups.
• Groupes de Garside
• ALGORITHMS FOR POSITIVE BRAIDS
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• Presentation of pure braid groups
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• The infimum, supremum, and geodesic length of a braid conjugacy class.

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