On the growth of a Coxeter group

DOI10.4171/GGD/358zbMath1356.20023arXiv1312.3437MaRDI QIDQ2630766

Tommaso Terragni

Publication date: 22 July 2016

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

Full work available at URL: https://arxiv.org/abs/1312.3437

zbMATH Keywords

Coxeter groupsgrowth of groups

Mathematics Subject Classification ID

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

Related Items (4)

Hyperbolic Coxeter groups of minimal growth rates in higher dimensions ⋮ On the growth of a Coxeter group ⋮ Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups ⋮ Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five

Cites Work

• Cyclotomic factors of Coxeter polynomials
• On Burnside's problem on periodic groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Rigidity of Coxeter groups and Artin groups
• Coxeter groups, Salem numbers and the Hilbert metric.
• On problems related to growth, entropy, and spectrum in group theory
• The orders of the finite Chevalley groups
• Free subgroups in linear groups
• Exponential growth rates of free and amalgamated products.
• On the growth of a Coxeter group
• Combinatorics of Coxeter Groups
• Entropies and factorizations of topological Markov shifts
• The entropies of topological Markov shifts and a related class of algebraic integers
• When is a Coxeter System Determined by its Coxeter Group?
• Endomorphisms of linear algebraic groups
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