Abstract
We show that the degrees of the complex irreducible characters of a finite group G are determined by the number of expressions of the identity as a product of k commutators for each k. Similar results are proved regarding real-valued irreducible characters, and the methods are then combined with modular methods to obtain results about real-valued p-blocks of defect 0.
Original language | English |
---|---|
Pages (from-to) | 3521-3526 |
Number of pages | 6 |
Journal | Journal of Algebra |
Volume | 321 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1 Jun 2009 |
Keywords
- characters
- commutators