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406-2004-AAL 6 Credits MSC D-MATH

Algebra II

Lecturers & Examiners: Prof. Dr. Sarah Zerbes
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
VVZ CR n/a

Last Updated: 2026-06-03 00:14:39

Abstract

Galois theory and related topics.

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

General Information

Language
English
Levels
MSC
Frequency
Semesterly recurring

Examination

Type
session examination
Mode
written 120 minutes
Aids
None
The content coincides with the content of the course unit 401-2004-00L Algebra II and changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.

Course Components

Type Title Time & Place Hours
revision course / private study Algebra II
Self-study course. No presence required.
No time listed 180 h semesterly

Offered In