Splitting the Automorphism Group of an Abelian p-Group

Mathematics – Group Theory

Scientific paper

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Scientific paper

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.

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