Torsion Points of Generalized Honda Formal Groups

Abstract

Generalized Honda formal groups are a class of formal groups, which includes all formal groups over the ring of integers of local fields weakly ramified over $${{\mathbb{Q}}_{p}}$$ . This class is the next in the chain multiplicative formal group–Lubin-Tate formal groups–Honda formal groups. The Lubin-Tate formal groups are defined by distinguished endomorphisms [π]F. Honda formal groups have distinguished homomorphisms that factor through [π]F. In this article, we prove that for generalized Honda formal groups, the composition of a sequence of distinguished homomorphisms factors through [π]F . As an application of this fact, a number of properties of πn-torsion points of the generalized Honda formal group are proved.