Galois Theory: The Galois Correspondence

Related lectures (31)

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Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.

Covers the Galois correspondence, relating subgroups to intermediate fields.

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.

Explores homomorphisms in topology and delves into Galois theory.

Explores Galois fields, elliptic curve cryptography, arithmetic operations, group structure, and practical examples in cryptography.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Revisits the Galoisian correspondence and explores group actions in intermediate coatings.

Explores purely inseparable decompositions, Galois property, and algebraic closures.

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.