Concept
Galois theory
Related lectures (59)
Galois Theory: Solvability and Radical Extensions
Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.
Galois Theory: The Galois Correspondence
Explores the Galois correspondence and solvability by radicals in polynomial equations.
Galois Theory Fundamentals
Explores Galois theory fundamentals, including separable elements, decomposition fields, and Galois groups, emphasizing the importance of finite degree extensions and the structure of Galois extensions.
Quotient by Galois Action
Explores quotient by Galois action, focusing on coatings, actions, and shares in various spaces.
Hensel's Lemma and Field Theory
Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Galois Correspondence
Covers the Galois correspondence, relating subgroups to intermediate fields.
Topology: Homomorphisms and Galois Theory
Explores homomorphisms in topology and delves into Galois theory.
Galois Theory of Qp
Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
Finite Degree Extensions
Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.