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Formal group law

{title2=$i_F(X)$}

Every one-dimensional <formal group law> has a unique formal inverse $i_F(X)=-X+O(X^2)$ satisfying $F(X,i_F(X))=0$. Comparing coefficients recursively determines it degree by degree.

Formal inverse

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 136 / 5 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 136 / 5 / c / Solution

Formal inverse ( $i_{F} (X)$ )

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Formal inverse (iF​(X))

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Formal inverse ( $i_{F} (X)$ )

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