Submodule categories of wild representation type

Let Λ be a commutative local uniserial ring with radical factor field k. We consider the category image of embeddings of all possible submodules of finitely generated Λ-modules. In case image, where p is a prime, the problem of classifying the objects in image, up to isomorphism, has been posed by Garrett Birkhoff in 1934. In this paper we assume that Λ has Loewy length at least seven. We show that image is controlled k-wild with a single control object image. It follows that each finite dimensional k-algebra can be realized as a quotient End(X)/End(X)I of the endomorphism ring of some object image modulo the ideal End(X)I of all maps which factor through a finite direct sum of copies of I.