PMATH 442 – LEC 0.50 – Course ID: 007692 – Fields and Galois Theory

Normal series, elementary properties of solvable groups and simple groups, algebraic and transcendental extensions of fields, adjoining roots, splitting fields, geometric constructions, separability, normal extensions, Galois groups, fundamental theorem of Galois theory, solvability by radicals, Galois groups of equations, cyclotomic and Kummer extensions. Prereq: PMATH 345, 346; Not open to General Mathematics students

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