On construction of formal groups with a given distinguished homomorphism

It is known from Lubin–Tate theory that a Lubin–Tate formal group can be constructed by its distinguished isogeny, which can be taken to be an arbitrary power series (with a few restrictions). Analogous statement is also known for Honda formal groups. In the given article similar statement is proved in detail for $p$-typical formal groups in so-called small ramification case. It is also proved that a distinguished homomorphism, in general, can not be taken to be a polynomial. Bibl. – 6 titles.