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math.DG2015★ 3 cited
The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space
Jun Nonaka
In [6], Kellerhals and Perren conjectured that the growth rates of the reflection groups given by hyperbolic Coxeter polyhedra are always Perron numbers. We prove that this conject…
math.DG2013
The number of cusps of right-angled polyhedra in hyperbolic spaces
Jun Nonaka
As was pointed out by Nikulin [8] and Vinberg [10], a right-angled polyhedron of finite volume in hyperbolic n-space has at least one cusp for . We obtain n…