The growth function of Coxeter garlands in \(\mathbb H^4\).

DOI10.1007/s13366-011-0073-3zbMath1261.20039OpenAlexW2117990428MaRDI QIDQ695010

Thomas Zehrt, Christine Zehrt-Liebendörfer

Publication date: 20 December 2012

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0073-3

zbMATH Keywords

Coxeter groupspolynomialslocation of zerosgrowth functionshyperbolic polytopes

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. ⋮ On the growth of cocompact hyperbolic Coxeter groups. ⋮ The growth function of Coxeter dominoes and 2-Salem numbers. ⋮ Seventy years of Salem numbers

Cites Work

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• Reciprocity of growth functions of Coxeter groups
• Growth series of Coxeter groups and Salem numbers
• Discrete groups generated by reflections in the faces of simplicial prisms in Lobachevskian spaces
• The classification of compact hyperbolic Coxeter \(d\)-polytopes with \(d+2\) facets
• Endomorphisms of linear algebraic groups
• On the complex roots of algebraic equations

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