Module Handbook

  • 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
+ 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.

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