Galois Theory
About
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.
The course is given every other year, in the autumn semester in odd-numbered years.
This course is open to
Exchange students at the Faculty of Science and exchange students on a university-wide agreement. Please contact your international coordinator at the University of Gothenburg if you need to know more.
Entry requirements
Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.
English proficiency
Incoming students should have an English level equivalent of B2 or higher as courses and materials, including presentations and exams, will be in English.
To assess your English level, you can use the self-assessment grid for reference.
Application
Do you want to apply for exchange studies at the University of Gothenburg?