Similar to 単拡大

Dual basis in a field extension

Normal extension

Algebraic extension

Algebraic closure

Separable extension

Galois theory

Splitting of prime ideals in Galois extensions

Galois group

Galois connection

Inverse Galois problem

Fundamental theorem of Galois theory

Galois representation

Galois cohomology

Absolute Galois group

Newton's identities

Fontaine's period rings

P-adic Hodge theory

Differential Galois theory

Hilbert's Theorem 90

Frobenius endomorphism

Ramification group

Wiles's proof of Fermat's Last Theorem