Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-43-24-K-7

Cohomology of Groups (4V, 9.0 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
4	V	Lecture	9.0 CP	56 h	214 h
(4V)			9.0 CP	56 h	214 h

Basedata

SWS	4V
CP, Effort	9.0 CP = 270 h
Position of the semester	1 Sem. irreg.
Level	[7] Master (Advanced)
Language	[EN] English
Lecturers	Fieker, Claus, Prof. Dr. (PROF \| DEPT: MAT) Lassueur, Caroline, Jun. Prof. Dr. (PROF \| DEPT: MAT) Malle, Gunter, Prof. Dr. (PROF \| DEPT: MAT) Thiel, Ulrich, Prof. Dr. (PROF \| DEPT: MAT) + further Lecturers of the department Mathematics
Area of study	[MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State	[NORM] Active

Contents

Semi-direct products,
homological algebra,
free, projective and injective resolutions,
homology and cohomology of groups,
group extensions and cohomology,
Schur multiplier,
central extensions,
projective representations.

Literature

K. Brown: Cohomology of Groups,
C. Curtis & I. Reiner: Methods of representation theory with applications to finite groups and orders, vol. 1,
J. Rotmann: An Introduction to the Theory of Groups,
C. Weibel: An Introduction to Homological Algebra.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

[MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)

Courses

Requirements for attendance (formal)

None

References to Course [MAT-43-24-K-7]

Module	Name	Context
[MAT-43-24-M-7]	Cohomology of Groups	P: Obligatory	4V, 9.0 LP