This lecture covers the Galois correspondence, relating subgroups of the Galois group to intermediate fields of a field extension. It explains the correspondence between subgroups and intermediate fields, providing examples and applications.
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On étudie des notions de topologie générale: unions et quotients d'espaces topologiques; on approfondit les notions de revêtements et de groupe fondamental,et d'attachements de cellules et on démontre
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.
