Growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers
Abstract
In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra some of its dihedral angles are πm for m≥7. By combining with the classical result by Parry Pa and the main result of Y, we prove that the growth rates of 3-dimensional hyperbolic Coxeter groups are Perron numbers.
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