Characters and the commutator map

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4 Citations (Scopus)


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 languageEnglish
Pages (from-to)3521-3526
Number of pages6
JournalJournal of Algebra
Issue number11
Publication statusPublished - 1 Jun 2009


  • characters
  • commutators


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