Universität Wien
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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