Universität Wien

250057 VO Group theory (2017S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Thursday 02.03. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 06.03. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 09.03. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 16.03. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 20.03. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 23.03. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 27.03. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 30.03. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 03.04. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 06.04. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 24.04. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 27.04. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 04.05. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 08.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 11.05. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 15.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 18.05. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 22.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 29.05. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 01.06. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 08.06. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 12.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 19.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 22.06. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Monday 26.06. 14:00 - 15:30 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 29.06. 14:00 - 14:45 Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Groups arise in the context of symmetries of all kinds. A systematic study was originally motivated by the classification of crystals (Schönflies, Fedorov),
by solving algebraic equations (Galois), by solving differential equations (Lie), and
by studying representations (Frobenius).

This lecture gives an introduction to modern group theory,
covering the usual material, ranging from subgroups, quotients, homomorphisms,
semidirect products, automorphisms, extensions and Sylow theorems, to solvable and nilpotent groups,
linear groups, free groups, presentation of groups by generators and relations,
free products, and cohomology of groups.

Assessment and permitted materials

Written exam or oral exam after the end of the lecture.

Minimum requirements and assessment criteria

Basic abstract algebra, i.e., Algebra I.

Examination topics

All topics covered in the lecture.

Reading list

[BOG] Bogopolski, O. Introduction to group theory. European Mathematical
Society (EMS), Zürich, 2008.
[HUP] Huppert, B. Finite Groups. Band 134, Springer-Verlag, 1967.
[ROB] Robinson, Derek J. S., A Course in the Theory of Groups, Springer-Verlag, 1995.
[ROT] Rotman, Joseph J, An introduction to the theory of groups. Springer-Verlag, 1995.
[ZAS] Zassenhaus, Hans J. The theory of groups. Reprint of the 1958 edition,
Dover Publications 1999.

Association in the course directory

MALG

Last modified: Mo 07.09.2020 15:40