Coxeter systems with \(2\)-dimensional Davis complexes, growth rates and Perron numbers

DOI10.2140/agt.2024.24.1787MaRDI QIDQ6593015

Tomoshige Yukita, Naomi Bredon

Publication date: 26 August 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

growth ratesCoxeter systemsPisot numbersSalem numbersPerron numbersDavis complex

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• On the growth of cocompact hyperbolic Coxeter groups.
• Reciprocity of growth functions of Coxeter groups
• Growth of planar Coxeter groups, P.V.numbers and Salem numbers
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• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Growth series of Coxeter groups and Salem numbers
• A dynamic survey of graph labeling
• The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space
• Coxeter groups, Salem numbers and the Hilbert metric.
• The orders of the finite Chevalley groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• On the growth of a Coxeter group
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $\frac{\pi}{m}$ for $m=2,3,4,5,6$
• Growth Rates of 3-dimensional Hyperbolic Coxeter Groups are Perron Numbers
• Reflection subgroups of Coxeter groups
• Endomorphisms of linear algebraic groups
• The rates of growth in a hyperbolic group
• On the continuity of the growth rate on the space of Coxeter systems
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