An upper bound of the minimal asymptotic translation length of right-angled Artin groups on extension graphs

DOI10.4134/bkms.b230291MaRDI QIDQ6654994

Eon-Kyung Lee, Sang Jin Lee

Publication date: 20 December 2024

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

right-angled Artin groupsbiconnected graphstranslation lengthextension graphs

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Asymptotic properties of groups (20F69) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

• Minimal pseudo-Anosov translation lengths on the complex of curves
• Path lifting properties and embedding between RAAGs.
• Translation numbers in a Garside group are rational with uniformly bounded denominators.
• Algorithms and geometry for graph products of groups
• Embeddability between right-angled Artin groups..
• On the finiteness property of hyperbolic simplicial actions: the right-angled Artin groups and their extension graphs
• Small asymptotic translation lengths of pseudo-Anosov maps on the curve complex
• Tight geodesics in the curve complex
• An Obstruction to Embedding Right-Angled Artin Groups in Mapping Class Groups
• Embeddability of right-angled Artin groups on complements of trees
• The geometry of the curve graph of a right-angled Artin group
• Minimal Asymptotic Translation Lengths of Torelli Groups and Pure Braid Groups on the Curve Graph
• Acylindricity of the action of right-angled Artin groups on extension graphs

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