On the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form $frac{pi}{m}$ for $m=2,3,4,5,6$ (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)
Tomoshige Yukita · Institutional Repositories DataBase (IRDB) · 2017
We study arithmetic properties of the growth rates of cofinite 3-dimensional hyperbolic Coxeter groups whose dihedral angles are of the form π/m for m = 2, 3, 4, 5, 6 and show that the growth rates are always Perron numbers.