Hensel's Lemma and Field Theory

Related lectures (32)

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

Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Explores homomorphisms in topology and delves into Galois theory.

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Covers the Galois correspondence, relating subgroups to intermediate fields.

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

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

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

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