Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five

DOI10.4171/GGD/663WikidataQ114021500 ScholiaQ114021500MaRDI QIDQ2102167

Naomi Bredon, Ruth Kellerhals

Publication date: 28 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10961

zbMATH Keywords

growth rateCoxeter grouphyperbolic polyhedrondisjoint facets

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (1)

Hyperbolic Coxeter groups of minimal growth rates in higher dimensions

Uses Software

• PARI/GP
• CoxIter

Cites Work

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• Lectures on hyperbolic geometry
• Discrete groups generated by reflections
• Coxeter groups, Salem numbers and the Hilbert metric.
• The classification of compact hyperbolic Coxeter \(d\)-polytopes with \(d+2\) facets
• The three smallest compact arithmetic hyperbolic 5-orbifolds
• Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers.
• The size of hyperbolic Coxeter simplex
• Hyperbolic orbifolds of minimal volume
• The cusped hyperbolic orbifolds of minimal volume in dimensions less than ten
• On hyperbolic Coxeter polytopes with mutually intersecting facets
• A note on curvature and fundamental group
• On the growth of a Coxeter group
• An Introduction to the AMS-NZMS Maclaurin Lecture: Siegel's Problem in Three Dimensions
• CoxIter – Computing invariants of hyperbolic Coxeter groups
• On simple ideal hyperbolic Coxeter polytopes
• The Lehmer Polynomial and Pretzel Links
• Seventy years of Salem numbers
• The Minimal Growth Rate of Cocompact Coxeter Groups in Hyperbolic 3-space
• Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups

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