Final exam -- Autumn 2007
€

The course has four major themes:

1. The Tower Law, algebraic extensions, and constructions by straightedge and compass

2. The fundamental theorem of Galois theory.

3. The primitive element theorem and the fundamental theorem of algebra.

4. Insolvability by radicals of polynomial equations.

Resources used for Field Theory, are:

Kaplansky's "Fields and Rings", Chicago lectures in mathematics, The University of Chicago Press, 1972 [This is the main resource, by far.]

David Cox's "Galois Theory", Wiley, New York, 2004

Mark Dickinson's notes "Galois theory: The proofs, the whole proofs, and nothing but the proofs"

Galois theory notes

• Field theory: homework sets

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