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.

**Syllabus**

- in English - in the second half of autumn
- in every other year

#### Course information 2021

- Course coordinator: Jan Stevens
- Schedule 2021

#### Course information 2019

- Course coordinator: Alexander Stolin
- Schedule 2019

#### Course information 2017

- Course coordinator: Alexander Stolin
- Schedule 2017

#### Course information 2015

- Course coordinator: Per Salberger
- Schedule

#### Course information 2013

- Course coordinator: Per Salberger
- Schedule

#### Course information 2011

- Course coordinator: Per Salberger
- Schedule

#### Course information 2009

- Course coordinator: Per Salberger
- Schedule

#### Course information 2007

- Course coordinator: Ulf Persson
- Schedule