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ALG-FG · 3 lectures

Field and Galois

Extensions, automorphisms, and the Galois correspondence.

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Curriculum

Lectures

Open a lecture for definitions, theorems, problems, and step-by-step solutions.

  1. L01

    Fields & field extensions

    What a field is, simple extensions, and degree.

  2. L02

    Algebraic vs transcendental

    Generated subfields, degree, tower law, minimal polynomials.

  3. L03

    Galois groups & correspondence

    Compositum, Gal(L/K), fixed fields, and the Galois correspondence.