Explicit form of the Hilbert symbol for polynomial formal groups
Explicit form of the Hilbert symbol for polynomial formal groups
Let $K$ be a local field, $c$ a unit in $K$, and $F_c (X,Y) = X + Y + cXY$ a polynomial formal group that gives rise to a formal module $F_c(\mathfrak {M})$ on the maximal ideal in the ring of integers of $K$. Assume that $K$ contains the group …