The growth function of Coxeter garlands in $\mathbb{H}^4$
- Zehrt, Thomas Département de mathématiques, Université de Fribourg, Switzerland
- Zehrt-Liebendörfer, Christine Mathematisches Institut, Universität Basel, Switzerland
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07.10.2011
Published in:
- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. - 2012, vol. 53, no. 2, p. 451-460
English
The growth function W(t) of a Coxeter group W relative to a Coxeter generating set is always a rational function. We prove by an explicit construction that there are infinitely many cocompact Coxeter groups W in hyperbolic 4-space with the following property. All the roots of the denominator of W(t) are on the unit circle except exactly two pairs of real roots.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 28757
- DOI 10.1007/s13366-011-0073-3
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302231
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