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
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Cite this
Robinson, G. R. (2009). Characters and the commutator map. Journal of Algebra, 321(11), 3521-3526. https://doi.org/10.1016/j.jalgebra.2008.02.032