Galois extension

Related lectures (32)

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Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Explores the Galois correspondence and solvability by radicals in polynomial equations.

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

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.

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

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

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

Covers the Galois correspondence, relating subgroups to intermediate fields.

Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.

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