The 𝑝-adic hull of abelian groups

Mader, A.

doi:10.1090/S0002-9947-1974-0352296-1

The $p$-adic hull of abelian groups
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Trans. Amer. Math. Soc. 187 (1974), 217-229 Request permission

Abstract:

In this paper we define “p-adic hull” for p-reduced groups K. The p-adic hull ${K^P}$ of K is a module over the ring P of p-adic integers containing K and satisfying certain additional properties. The notion is investigated and then used to prove some known and some new theorems on $\operatorname {Ext}(K,T)$ and $\operatorname {Hom}(K,T)$ for K torsion-free and T a reduced p-group.

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