2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71026We prove that a Kleinian group $G$ acting upon $\mathbb{H}^{n}$ admits a non-constant $G$-automorphic function, even if it has torsion elements, provided that the orders of the elliptic (torsion) elements are uniformly bounded. This is accomplished by developing a technique for mashing distinct fat triangulations while preserving fatness.13 pages, 2 figuresComplex VariablesGeometric Topology30C65, 57R05; 57M60text