Geodesic growth of right-angled Coxeter groups based on trees

DOI10.1007/s10801-016-0667-9zbMath1344.05067arXiv1504.02774OpenAlexW2287429944MaRDI QIDQ314039

Alexander Kolpakov, Laura Ciobanu

Publication date: 12 September 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02774

zbMATH Keywords

Coxeter groupregular languagesgeodesic growthRACG

Mathematics Subject Classification ID

Trees (05C05) Graph theory (including graph drawing) in computer science (68R10) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Groups acting on trees (20E08)

Related Items (2)

Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers ⋮ Geodesic growth of some 3-dimensional RACGs

Cites Work

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• Geodesic automation and growth functions for Artin groups of finite type
• Rigidity of graph products of groups.
• Geodesic growth in right-angled and even Coxeter groups.
• Artin groups of large type are shortlex automatic with regular geodesics
• Combinatorics of Coxeter Groups
• GRAPH PRODUCTS AND CANNON PAIRS
• Growth Functions and Automatic Groups

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