Galois group

Related lectures (29)

Page 2 of 3

Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.

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

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

Explores homomorphisms in topology and delves into Galois theory.

Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.

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

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

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

Covers the Galois correspondence, relating subgroups to intermediate fields.

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