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.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.
Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.
Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
