The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space

zbMath1494.51005MaRDI QIDQ1708154

Ruth Kellerhals, Jun Nonaka

Publication date: 4 April 2018

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

Full work available at URL: https://projecteuclid.org/euclid.tjm/1515466832

zbMATH Keywords

cuspgrowth ratePerron numberhyperbolic Coxeter polyhedron

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15)

Related Items (3)

The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space ⋮ Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers ⋮ On the growth rate of ideal Coxeter groups in hyperbolic 3-space.

Cites Work

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• On the growth of hyperbolic 3-dimensional generalized simplex reflection groups.
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• On the growth of cocompact hyperbolic Coxeter groups.
• On the optimality of the ideal right-angled 24-cell
• Growth functions of surface groups
• Organizing volumes of right-angled hyperbolic polyhedra
• Growth series of Coxeter groups and Salem numbers
• The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space
• Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers.
• The size of hyperbolic Coxeter simplex
• The orders of the finite Chevalley groups
• The Minimal Growth Rate of Cocompact Coxeter Groups in Hyperbolic 3-space
• Endomorphisms of linear algebraic groups

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