The Minimal Growth Rate of Cocompact Coxeter Groups in Hyperbolic 3-space

DOI10.4153/CJM-2012-062-3zbMath1302.20045MaRDI QIDQ5409829

Alexander Kolpakov, Ruth Kellerhals

Publication date: 15 April 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

growth ratesSalem numbershyperbolic Coxeter groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Reflection groups, reflection geometries (51F15)

Related Items (6)

Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups ⋮ Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. ⋮ The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space ⋮ Seventy years of Salem numbers ⋮ Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five ⋮ On the growth rate of ideal Coxeter groups in hyperbolic 3-space.

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