torsion element of group associated to formal group

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Let $R$ be complete local ring $M$ be the maximal ideal of $R$

$F$ be a formal group defined over $R$, with group law $F(X,Y)$.

According Silverman's book 'the arithmetic of elliptic curves', example 6.1.1,

If $R$ is integers in any field unramified extension of $\Bbb Q_p$,then group associated to formal group $F$,$F(M)$ has no torsion.

But there are no proof or reference. I searched a lot, but I couldn't find article regarding this problem.

How to prove this?

Reference(pdf,book) is also appreciated, thank you for your help.