Characters of finite groups

• Thesis title in English: Characters of finite groups
• Academic year of topic announcement: 2011/2012
• Thesis type: Bachelor's thesis
• Thesis language: angličtina
• Department: Department of Algebra (32-KA)
• Supervisor: Christopher Gill, Ph.D.

Guidelines

The aim of this project will be to understand basic properties of character tables of finite groups and the relation to simple modules. The character table is an array of numbers with columns indexed by conjugacy classes and rows indexed by equivalence classes of irreducible characters. This table determines the representations of the group over the complex numbers. The project will investigate basic properties of these tables, and applications.

References

James and Liebeck, Representations and characters of groups.
Ledermann: Introduction to group characters.
Isaacs: Character theory of finite groups.

Preliminary scope of work

Vedoucí práce Christopher Gill bude celý akademický rok 2011/12 působit na Katedře algebry a lze ho najít v karlínské pracovně K307 na KA nebo kontaktovat na mailu: [e-mail].