Abstract
In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form π/k for an integer k ≥ 7. Combining a classical result by Parry with a previous result of ours, we prove that the growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers.
Original language | English |
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Pages (from-to) | 405-422 |
Number of pages | 18 |
Journal | Canadian Mathematical Bulletin |
Volume | 61 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2018 Jun |
Keywords
- Coxeter group
- Growth function
- Growth rate
- Perron number
ASJC Scopus subject areas
- Mathematics(all)