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A remark on the norm of a formal group over $\mathbf {Z}_p$

A remark on the norm of a formal group over $\mathbf {Z}_p$

Let $h \geq 2$ be an integer and $F$ a formal group over $\mathbf{Z}_p$ of Honda type $p + X^h$. The aim of this paper is to calculate the index of the image of the norm of $F$ in the local cyclotomic fields by following Kobayashi's method ([1]). Here we …