BUSEMANN POINTS OF ARTIN GROUPS OF DIHEDRAL TYPE

DOI10.1142/S0218196709005391zbMath1183.20037arXiv0705.1485MaRDI QIDQ5850780

Cormac Walsh

Publication date: 15 January 2010

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1485

zbMATH Keywords

growth seriesbraid groupsgeodesicsArtin groupsGarside groupsBusemann functionshoroballsmetric boundariesBusemann points

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (3)

Toric varieties vs. horofunction compactifications of polyhedral norms ⋮ Bredon homology of Artin groups of dihedral type ⋮ Iterated Minkowski sums, horoballs and north-south dynamics

Cites Work

• The language of geodesics for Garside groups
• Cayley compactifications of abelian groups
• Minimal length elements of Thompson's group \(F\)
• Boundaries of hyperbolic metric spaces
• The dual braid monoid
• FOREST DIAGRAMS FOR ELEMENTS OF THOMPSON'S GROUP F
• GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE
• THE GENUS OF CLOSED 3-BRAIDS
• Minimum crossing numbers for 3-braids
• Busemann points of infinite graphs

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