Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-40-25-K-4

Character Theory of Finite Groups (2V+1U, 4.5 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U)
2 V Lecture 3.0 CP 28 h 62 h
1 U Exercise class (in small groups) 1.5 CP 14 h 31 h
(2V+1U) 4.5 CP 42 h 93 h

Basedata

SWS 2V+1U
CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg. SuSe
Level [4] Bachelor (Specialization)
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

Notice

In each summer semester at least one of the courses [MAT-40-24-K-4], [MAT-40-25-K-4] or [MAT-40-29-K-4] is offered.

Possible Study achievement

  • Verification of study performance: proof of successful participation in the exercise classes (ungraded)
  • Examination number (Study achievement): 84007 ("Exercise Class Character Theory of Finite Groups")
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.

Contents

  • Maschke's theorem,
  • character tables,
  • orthogonality relations,
  • rationality questions,
  • Burnside theorem,
  • induced characters,
  • Frobenius groups.

Literature

  • M. Isaacs: Character Theory of Finite Groups,
  • G. James, M. Liebeck: Representations and Characters of Finite Groups,
  • J. Alperin, R. Bell: Groups and Representations.

Materials

Further literature will be announced in the lecture; Exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de)

References to Course [MAT-40-25-K-4]

Module Name Context
[MAT-40-25-M-4] Character Theory of Finite Groups P: Obligatory 2V+1U, 4.5 LP
Course-Pool Name
[MAT-40-2V-KPOOL-4] Elective Courses Algebra, Geometry and Computeralgebra (2V, B.Sc.)