Representation theory of finite groups
The course covers the basic structure of characters of finite groups.
Core topics covered include: Structure of the group algebra over the complex numbers, Schur's Lemma, orthogonality relations, number of irreducible representations, techniques for computing character tables, operations of multilinear algebra on representations and their characters (tensor, symmetric and exterior products), induced characters, and an illustration of some applications of character theory to group theory. Additional topics may include a selection from: Integrality of characters, Frobenius groups, M-groups, Artin/Brauer theorems on induced characters, Burnside's p^aq^b theorem.
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Course structure
The course consists of one element.
Teaching format
Instruction consists of lectures.
Assessment
Assessment takes place through written exam.
Examiner
A list of examiners can be found on
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Schedule
The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course. -
Course literature
Note that the course literature can be changed up to two months before the start of the course.
Isaacs: Character theory of finite groups. (Available online via the University Library.)
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Course reports
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More information
New student
During your studiesCourse web
We do not use Athena, you can find our course webpages on kurser.math.su.se.
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