Galois Theory Fundamentals

Related lectures (32)

Page 2 of 4

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

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

Explores homomorphisms in topology and delves into Galois theory.

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

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

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

Covers homomorphisms, algebraic extensions, cutting, splitting, and separable elements in Fok [x].

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

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

Covers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.