Uniqueness of roots up to conjugacy in circular and hosohedral-type Garside groups

DOI10.1515/jgth-2023-0268zbMATH Open1548.20074MaRDI QIDQ6611935

Owen Garnier

Publication date: 27 September 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

braid groupArtin groupGarside groupGarside monoid

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36)

Cites Work

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• Uniqueness of roots up to conjugacy for some affine and finite type Artin groups.
• Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2
• Homology of Gaussian groups.
• The \(n\)th root of a braid is unique up to conjugacy.
• Computation of centralizers in braid groups and Garside groups.
• The homotopy type of Artin groups
• Foundations of Garside theory
• Homology computations for complex braid groups.
• Conjugacy in Garside groups. I: Cyclings, powers and rigidity.
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• Finite Unitary Reflection Groups
• Systolic complexes and group presentations

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