Galois Theory
University of Gothenburg
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End date:
Pace of study: 50 %
Published education catalogue
Galois Theory
Education information from the published source. The education record and its time-bound offerings are kept separate.
Education facts
Code: MMA310
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.
Entry requirements
Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.
Education offerings
Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.
Source and updates
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Checksum: 1b0dc54c0fc8a359f83ba9dc8f9d468479ce432de4c03bce3b8b33dd67fe3f6c
Last changed according to the source: 2025-11-07T06:37:38