The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space
- Kellerhals, Ruth Department of Mathematics, University of Fribourg, Switzerland
- Nonaka, Jun Waseda University Senior High School, Tokyo, Japan
-
2017
Published in:
- Tokyo Journal of Mathematics. - 2017, vol. 40, no. 2, p. 379-391
English
In [7], Kellerhals and Perren conjectured that the growth rates of the reflection groups given by compact hyperbolic Coxeter polyhedra are always Perron numbers. We prove that this conjecture holds in the context of ideal Coxeter polyhedra in H3. Our methods allow us to bound from below the growth rates of composite ideal Coxeter polyhedra by the growth rates of its ideal Coxeter polyhedral constituents.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 309029
- DOI 10.3836/tjm/1502179234
- Persistent URL
- https://folia.unifr.ch/unifr/documents/306437
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