2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118127We classify groups G such that the unit group U(ZG) is hypercentral. In the second part we classify groups G whose modular group algebra has hyperbolic unit group V(KG).Rings and AlgebrasGroup Theory16S34, 16U60, 20C07Hypercentral unit groups and the hyperbolicity of a modular group algebratext