Universität Wien

250004 VO Algebra (2013W)

7.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Wednesday 02.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 03.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 09.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 10.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 16.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 17.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 23.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 24.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 30.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 31.10. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 06.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 07.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 13.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 14.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 20.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 21.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 27.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 28.11. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 04.12. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 05.12. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 11.12. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 12.12. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 18.12. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 08.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 09.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 15.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 16.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 22.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 23.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 29.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 30.01. 10:00 - 12:00 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

This is the continuation of the lectures on algebraic structures in the winter semester 2012/13.
We will cover the following topics in group theory: composition series and the Jordan-Hölder Theorem, actions of groups on sets, Sylow theorems.
We will cover the following objects and their properties pertaining to module theory: submodules and quotients, homomorphism theorem, internal and external direct sum, generators, free modules, rings of endomorphisms.
We will cover the following objects and their properties pertaining to field theory: finite subgroups of the multiplicative group, integral and algebraic elements, norm and trace, normal and separable finite field extensions, Fundamental Theorem of Galois Theory, solvability of algebraic equations by radicals, finite fields.
For more information (in German) go to http://www.mat.univie.ac.at/~baxa/ws1314.html

Assessment and permitted materials

Written or oral exam after the end of the semester.

Minimum requirements and assessment criteria

We will give an introduction to the basic ideas and results of abstract algebra.

Examination topics

The material will be presented by the lecturer.

Reading list

G. Fischer, Lehrbuch der Algebra
T.W. Hungerford, Algebra
J.C. Jantzen, J. Schwermer, Algebra
S. Lang, Algebra

Association in the course directory

ALG

Last modified: Mo 07.09.2020 15:40