Prüfer group
= Prüfer group
{c}
{title2=$C_{p^\infty}$}
{wiki}
For a prime $p$, the Prüfer group $C_{p^\infty}$ is the union of an ascending chain of cyclic groups of orders $p,p^2,p^3,\ldots$. As a $\mathbb Z$-module it is Artinian but not Noetherian.
= Prüfer p-group
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{synonym}