Kellerhals, Ruth Nonaka, Jun 2017 In [7], Kellerhals and Perren conjectured that the growth rates of the reflection groups given by compact hyperbolic Coxeter polyhedra are always Perron numbers. We prove that this conjecture holds in the context of ideal Coxeter polyhedra in H3. Our methods allow us to bound from below the growth rates of composite ideal Coxeter polyhedra by the growth rates of its ideal Coxeter polyhedral constituents. application/pdf https://folia.unifr.ch/global/documents/306437 https://folia.unifr.ch/documents/306437/files/kel_gri.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.3836/tjm/1502179234 info:eu-repo/semantics/openAccess License undefined Tokyo Journal of Mathematics. - 2017, vol. 40, no. 2, p. 379-391 info:eu-repo/classification/udc/51 The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space http://purl.org/coar/resource_type/c_6501