- Docente: Marta Morigi
- Credits: 6
- SSD: MAT/02
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Course contents
This course will be about Galois Theory, more precisely:
Splitting field of a polynomial. Symmetric functions. Normal fields extensions. Separable fields extensions. The primitive element theorem. Galois extensions. The Galois group of a field extension. The Galois correspondence. The Galois group of a polynomial. The discriminant of a polynomial. Cyclotomic extensions and radical extensions. Jordan Holder Theorem. Soluble groups. Solubility by radicals. Galois Theorem. Dedekind Theorem. Constructions with straight-edge and compass.
Readings/Bibliography
J.S. Milne "Fields and Galois Theory"
Cox "Galois Theory"
S. Lang, “Algebra”
S. Gabelli, "Teoria delle Equazioni e Teoria di Galois"
Assessment methods
Oral examination.
Office hours
See the website of Marta Morigi