  Let $\hat\Z_p$ be the ring of $p$-adic integers. We prove in the present
paper that the category of polynomial functors from finitely generated free
abelian groups to $\hat \Z_p$-modules of degree at most $p$ is equivalent to
the category of finitely generated modules over a particularly well understood
ring, called Green order. That this is the case was conjectured by Yuri Drozd.
