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250030 VO Algebra (2012W)

7.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Wednesday 03.10. 13:00 - 14:20 Seminarraum
Monday 08.10. 13:00 - 15:00 Seminarraum
Wednesday 10.10. 13:00 - 14:20 Seminarraum
Monday 15.10. 13:00 - 15:00 Seminarraum
Wednesday 17.10. 13:00 - 14:20 Seminarraum
Monday 22.10. 13:00 - 15:00 Seminarraum
Wednesday 24.10. 13:00 - 14:20 Seminarraum
Monday 29.10. 13:00 - 15:00 Seminarraum
Wednesday 31.10. 13:00 - 14:20 Seminarraum
Monday 05.11. 13:00 - 15:00 Seminarraum
Wednesday 07.11. 13:00 - 14:20 Seminarraum
Monday 12.11. 13:00 - 15:00 Seminarraum
Wednesday 14.11. 13:00 - 14:20 Seminarraum
Monday 19.11. 13:00 - 15:00 Seminarraum
Wednesday 21.11. 13:00 - 14:20 Seminarraum
Monday 26.11. 13:00 - 15:00 Seminarraum
Wednesday 28.11. 13:00 - 14:20 Seminarraum
Monday 03.12. 13:00 - 15:00 Seminarraum
Wednesday 05.12. 13:00 - 14:20 Seminarraum
Monday 10.12. 13:00 - 15:00 Seminarraum
Wednesday 12.12. 13:00 - 14:20 Seminarraum
Monday 17.12. 13:00 - 15:00 Seminarraum
Monday 07.01. 13:00 - 15:00 Seminarraum
Wednesday 09.01. 13:00 - 14:20 Seminarraum
Monday 14.01. 13:00 - 15:00 Seminarraum
Wednesday 16.01. 13:00 - 14:20 Seminarraum
Monday 21.01. 13:00 - 15:00 Seminarraum
Wednesday 23.01. 13:00 - 14:20 Seminarraum
Monday 28.01. 13:00 - 15:00 Seminarraum
Wednesday 30.01. 13:00 - 14:20 Seminarraum

Information

Aims, contents and method of the course

> The course continues and deepens the investigation of the basic algebraic structures groups, rings, fields. Emphasis will be placed on the investigation of fields an in particular of extensions of fields. Our aim is the main theorem of Galois theory which yields a description of a field extension via the corresponding symmetry group. Historically, the study of field extensions is motivated by the problem of solvability of algebraic equations by radicals and we want to describe the application of Galois theory to this problem. In particular, we will see that equations of degree 5 or bigger in general cannot be solved by radicals. Another topic will be group actions and the applications to the structure theory of finite groups ("Theorems of Sylow")

Assessment and permitted materials

written exam

Minimum requirements and assessment criteria

Ability to apply basic methods and techniques from the theory of field extensions and finite groups

Examination topics

lecture course

Reading list

Bosch: Algebra
Jantzen, Schwermer: Algebra
Karpfinger, Meyberg: Algebra
Hungerford: Algebra
Jacobson: Algebra 1,2
Lang: Algebra

Association in the course directory

ALG

Last modified: Mo 07.09.2020 15:40