Splitting the Automorphism Group of an Abelian p-Group

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110388Let G be an abelian p-group sum of finite homocyclic groups Gi. Here, we determine in which cases the automorphism group of G splits over ker(h), where h: Aut(G)-->Xi Aut(Gi/pGi) is the natural epimorphism.Group Theory20K10; 20K30;20F28Splitting the Automorphism Group of an Abelian p-Grouptext