On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $\frac{\pi}{m}$ for $m=2,3,4,5,6$

zbMath1388.20057arXiv1603.04592MaRDI QIDQ4566303

Tomoshige Yukita

Publication date: 14 June 2018

Full work available at URL: https://arxiv.org/abs/1603.04592

zbMATH Keywords

growth rateCoxeter groupgrowth functionPerron number

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hyperbolic groups and nonpositively curved groups (20F67)

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Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers

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