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Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
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.
Covers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.
Covers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.
Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.
