2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75890In this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Turaev [10]. We proved that the concepts introduced by S.L.Woronowicz in constructing Differential calculus on Hopf Compact Matrix Pseudogroups (Quantum Groups)[7] can be adapted to serve again in our construction.Quantum AlgebraDifferential Geometry17B37, 16W35, 37J05text