Lecture: Mi, 14-16h, SR 125, Ernst-Zermelo-Str. 1
Tutorial: 2 hours, date to be determined
Teacher: Amador Martín Pizarro
Assistant: Charlotte Bartnick
Language: in German
Groups without any non-trivial normal subgroup are called simple groups. Similar to prime numbers for the natural numbers, simple groups form the building blocks for finite groups. It is easy to see that Abelian finite simple groups are cyclic. Non-Abelian examples are alternating groups and Lie-type groups.
The classification of finite simple groups is far beyond the scope of this course. However, we will illustrate some of the recurring ideas of classification and, in particular, prove the following result of Brauer and Fowler:
Theorem: Let G be a finite group of even order such that the centre is of odd order. Then there is an element \(g \neq 1_G\) with \(|G| < |C_G (g)|^3\) .
This theorem had a particularly large impact on the classification of finite simple groups, as it suggests that these could be classified by examining the centralisers of elements of order 2.
Algebra and Number Theory
Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Pure Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective (MScData24)
Logic for Computer Science Students
Lecture: Mi, 10-12h, HS 00-026, Georges-Köhler-Allee 101
Tutorial: 2 hours, various dates
Teacher: Markus Junker
Assistant: Charlotte Bartnick
Language: in German
Mi, 10-12h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Markus Junker
Assistant: Charlotte Bartnick
Lecture: Do, 10-12h, SR 404, Ernst-Zermelo-Str. 1
Teacher: Amador Martín Pizarro
Assistant: Charlotte Bartnick
general:
Lecture: Mi, 10-12h, HS 00-026, Georges-Köhler-Allee 101
Teacher: Amador Martín Pizarro
Assistant: Charlotte Bartnick
Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b
02.08., 10:00-12:00
Sit-in exam (resit) 21.02., 10:00-12:00
Teacher: Markus Junker
Assistant: Charlotte Bartnick
general:
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Compulsory Elective in Mathematics (BSc21)
Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b
Teacher: Amador Martín Pizarro
Assistant: Charlotte Bartnick
general:
Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)