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Splitting the Automorphism Group of an Abelian p-Group

Research paper by Maria Alicia Avino-Diaz

Indexed on: 31 Mar '06Published on: 31 Mar '06Published in: Mathematics - Group Theory



Abstract

Let 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.