Spahn the p-divisible group A(p) (changes)

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Recall that a p-divisible group? $G$ has the defining properties that $p \,id_G:G\to G$ is an epimorphism with finite kernel satisfying $G=\cup_j ker\, p^j \, id_G$.

Now let $A$ be any commutative algebraic $k$-group such that $p\, id_A:A\to A$ is an epimorphism. Then

is a $p$-divisible group.