Mathematical signs and patterns
Photo: /Konstnär: Per Petersson

Galois Theory

Master’s level
7.5 credits (ECTS)


In this course you will study polynomial equations over fields, using group theory. Among other things, we will show that there is no general formula with root expressions for the solutions of polynomial equations of degree five. We do this by classifying algebraic extension fields, using the symmetric groups of the fields. As a byproduct, we will determine which of the regular polygons can be constructed with compass and ruler.

Prerequisites and selection


Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.


Mathematical Sciences is a joint department of Chalmers/University of Gothenburg. Your education takes place in the spacious and bright premises of Mathematical Sciences at the Chalmers campus Johanneberg, where there are lecture halls, computer rooms and group rooms. Here you can also find student lunch room and reading room, as well as student counsellors and student office.

Maps for Campus Johanneberg