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Last Updated: 2026-06-03 00:38:17
Abstract
Selected topics concerning fields, including Galois theory.
Objective
Introduction to fundamentals of field extensions, Galois theory, and related topics.
Content
Structure of field extensions: algebraic closure, separable polynomials, finite fields, separable and/or normal field extensions, Galois extensions, Galois correspondence, cyclotomic fields, abelian field extensions, solvable field extensions, constructions with compas and ruler
Resources
Literature
D.J.H. Garling: Galois Theory Urs Stammbach: Algebra Ian Stewart: Galois Theory Patrick Morandi: Field and Galois Theory
Learning Materials (Links)
- Main link
- Information
General Information
- Language
- German
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 120 minutes
- Aids
- None
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Algebra II |
|
3 h weekly |
| exercise |
Algebra II
Groups are selected in myStudies.
|
|
2 h weekly |