Characters and the commutator map

Geoffrey R. Robinson

Research output: Contribution to journal › Article

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

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Irreducible Character
Commutator
Finite Group
Defects
Character

Keywords

  • characters
  • commutators

Cite this

Characters and the commutator map. / Robinson, Geoffrey R.

In: Journal of Algebra, Vol. 321, No. 11, 01.06.2009, p. 3521-3526.

Research output: Contribution to journal › Article

Robinson, GR 2009, 'Characters and the commutator map', Journal of Algebra, vol. 321, no. 11, pp. 3521-3526. https://doi.org/10.1016/j.jalgebra.2008.02.032
Robinson GR. Characters and the commutator map. Journal of Algebra. 2009 Jun 1;321(11):3521-3526. https://doi.org/10.1016/j.jalgebra.2008.02.032
Robinson, Geoffrey R. / Characters and the commutator map. In: Journal of Algebra. 2009 ; Vol. 321, No. 11. pp. 3521-3526.
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