Field and Galois· L02
Algebraic vs transcendental
Generated subfields, degree, tower law, minimal polynomials.
Canonical content
Full lecture content is on the Notes page (Field Extensions II). Legacy HTML under /legacy/galois/ is backup only.
What you will cover
Generated subfields , finite generation, degree , the tower law, algebraic vs transcendental elements, and minimal polynomials.
Visualization
Field Extensions II — interactive notes
Generated fields · cyclotomic · degree · tower law · min poly · Hinglish.