On the growth rate of ideal Coxeter groups in hyperbolic 3-space
Geometric Topology
2015-07-10 v1
Abstract
We study the set G of growth rates of of ideal Coxeter groups in hyperbolic 3-space which consists of real algebraic integers greater than 1. We show that (1) G is unbounded above while it has the minimum, (2) any element of G is a Perron number, and (3) growth rates of of ideal Coxeter groups with generators are located in the closed interval .
Keywords
Cite
@article{arxiv.1507.02481,
title = {On the growth rate of ideal Coxeter groups in hyperbolic 3-space},
author = {Yohei Komori and Tomoshige Yukita},
journal= {arXiv preprint arXiv:1507.02481},
year = {2015}
}