  For given rational prime number $p$ consider the tower of finite extensions
of fields $K_0/\mathbb{Q}_p,$ $K/K_0, L/K, M/L$, where $K/K_0$ is unramified
and $M/L$ is a Galois extension with Galois group $G$. Suppose one dimensional
Honda formal group over the ring $\mathcal{O}_K$, relative to the extension
$K/K_0$ and uniformizer $\pi\in K_0$ is given. The operation
$x\underset{F}+y=F(x,y)$ sets a new structure of abelian group on the maximal
ideal $\mathfrak{p}_M$ of the ring $\mathcal{O}_M$ which we will denote by
$F(\mathfrak{p}_M)$. In this paper the structure of $F(\mathfrak{p}_M)$ as
$\mathcal{O}_{K_0}[G]$-module is studied for specific unramified $p$-extensions
$M/L$.
