Abstract:
Generalized Honda formal groups are a new class of formal groups that in particular describes the formal groups over the ring of integers of local fields weakly ramified over $Q_p$. It is the next class in the chain the multiplicative formal group - Lubin - Tate formal groups - Honda formal groups. Lubin - Tate formal groups are defined by distinguished endomorphisms $[\pi]_F$ , Honda formal groups possess distinguished omomorphisms that factor through $[\pi]_F$ and in the present paper we prove that for generalized Honda formal groups it is compositions of distinguished homomorphisms that factor through $[\pi]_F$. As an application of this fact, some properties of $\pi^n$-torsion points of generalized Honda formal groups are studied.