Hyperbolic Coxeter groups of minimal growth rates in higher dimensions
DOKPE
- Bredon, Naomi ORCID University of Fribourg
- 06.04.2022
Published in:
- Canadian Mathematical Bulletin. - Canadian Mathematical Society. - 2022, p. 1-11
English
The cusped hyperbolic n-orbifolds of minimal volume are well known for 𝑛≤9. Their fundamental groups are related to the Coxeter n-simplex groups Γ𝑛. In this work, we prove that Γ𝑛 has minimal growth rate among all non-cocompact Coxeter groups of finite covolume in Isomℍ^𝑛. In this way, we extend previous results of Floyd for 𝑛=2 and of Kellerhals for 𝑛=3, respectively. Our proof is a generalization of the methods developed together with Kellerhals for the cocompact case.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- License
- Rights reserved
- Open access status
- green
- Identifiers
-
- DOI 10.4153/S000843952200025X
- ISSN 0008-4395
- Persistent URL
- https://folia.unifr.ch/unifr/documents/321118
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