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401-2004-00L 5 Credits BSC D-PHYS , D-MATH
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Algebra II

Lecturers & Examiners: Prof. em. Dr. Richard Pink
VVZ CR n/a

Last Updated: 2026-02-05 15:41:26

Abstract

The main topics are field extensions and Galois theory.

Objective

Introduction to fundamentals of field extensions, Galois theory, and related topics.

Content

The main topic is Galois Theory. Starting point is the problem of solvability of algebraic equations by radicals. Galois theory solves this problem by making a connection between field extensions and group theory. Galois theory will enable us to prove the theorem of Abel-Ruffini, that there are polynomials of degree 5 that are not solvable by radicals, as well as Galois' theorem characterizing those polynomials which are solvable by radicals.

Resources

Literature

Joseph J. Rotman, "Advanced Modern Algebra" third edition, part 1, Graduate Studies in Mathematics,Volume 165 American Mathematical Society Galois Theory is the topic treated in Chapter A5.

Learning Materials (Links)

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes
Die Lernelemente der beiden Semesterkurse gelten auch für den Jahreskurs und werden in dem gleichen Verfahren in einen Notenbonus von maximal 0.25 Notenpunkten umgerechnet.

Course Components

Type Title Time & Place Hours
lecture Algebra II
  • Fri 08:00-10:00 (ER SA TZ)
  • Fri 08:15-10:00 (HG G 3)
  • 30.04 Date 17:15-19:00
2 h weekly
exercise Algebra II
  • Tue 15:00-17:00 (ER SA TZ)
  • Tue 15:15-17:00 (HG E 1.2)
  • Tue 15:15-17:00 (HG E 21)
  • Tue 15:15-17:00 (HG E 22)
  • Tue 15:15-17:00 (HG E 33.5)
  • Tue 15:15-17:00 (HG G 26.3)
2 h weekly

Offered In