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Abstract
Galois theory and related topics.
Objective
Introduction to fundamentals of field extensions, Galois theory, and related topics.
Content
Structure of field extensions: algebraic closure, separable polynomials, finite fields, separable and/or normal field extensions, Galois extensions, Galois correspondence, cyclotomic fields, abelian field extensions, solvable field extensions, constructions with compas and ruler
Resources
Literature
D.J.H. Garling: Galois Theory Urs Stammbach: Algebra Ian Stewart: Galois Theory Patrick Morandi: Field and Galois Theory