Characters and the commutator map

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)3521-3526
Number of pages6
JournalJournal of Algebra
Volume321
Issue number11
DOIs
Publication statusPublished - 1 Jun 2009

Keywords

  • characters
  • commutators

Fingerprint Dive into the research topics of 'Characters and the commutator map'. Together they form a unique fingerprint.

  • Cite this