2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76327In the present paper we define quasimeromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickman, concerning the value distribution for quasimeromorphic mappings on $\mathbb H$-type Carnot groups for parabolic and hyperbolic type domains.56 pagesAnalysis of PDEsMetric Geometry32H30, 31B15, 43A80On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groupstext