Growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers
Geometric Topology
2019-03-20 v4
Abstract
In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra some of its dihedral angles are for . By combining with the classical result by Parry \cite{Pa} and the main result of \cite{Y}, we prove that the growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers.
Cite
@article{arxiv.1603.04987,
title = {Growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers},
author = {Tomoshige Yukita},
journal= {arXiv preprint arXiv:1603.04987},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1603.04592; text overlap with arXiv:1504.06718 by other authors