Course - Galois Theory - MA3202
Galois Theory
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About the course
Course content
The course is a continuation of TMA4150 (and having taken MA3201 Rings and modules will be an advantage). Basic properties of field extensions will be discussed, and the interplay between group theory and field theory, formulated via Galois theory. Several applications will be discussed, in particular the insolvability of a general equation of degree five.
Learning outcome
1. Knowledge. The student masters various types of field extensions, for example normal extensions, and has a good understanding of the interplay between group theory and field theory. In particular, the student understands how Galois theory is applied to the question of solvability of the quintic.
2. Skills. The student is able to describe the Galois group of a given field extension, and to find correspondences between subgroups and intermediate fields.
Learning methods and activities
Lectures. Students may answer either in Norwegian or English on assessments.
Further on evaluation
The re-sit examination may be given as an oral examination. The re-sit exam is in August.
Recommended previous knowledge
The course is based on TMA4150 Algebra or equivalent knowledge. Having taken MA3201 Rings and modules will be an advantage.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| MNFMA319 | 7.5 sp | |
| MNFMA321 | 7.5 sp |
Subject areas
- Mathematics