2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77061We show that with few exceptions every local isometric automorphism of the group algebra $L^p(G)$ of a compact group $G$ is an isometric automorphism.To appear in Proc. AMSFunctional AnalysisOperator Algebras43A15, 43A22, 46H99text