Lubin–Tate torsion
= Lubin–Tate torsion
{c}
{title2=$\mu_{f,n}$}
The $\pi^n$-torsion of a <Lubin–Tate formal group> is
$$
\mu_{f,n}=\{x\in\overline{\mathfrak m}: [\pi^n]_f(x)=0\}.
$$
It is a free rank-one module over $\mathcal O_K/\pi^n\mathcal O_K$.