Characters and the commutator map

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2009 English Publisher:Elsevier BVJournal:Journal of Algebra, volume 321, pages 3,521-3,526 (issn: 0021-8693,

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Authors: Robinson, Geoffrey R.;

doi: 10.1016/j.jalgebra.2008.02.032

Characters and the commutator map

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Abstract

AbstractWe 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.

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University of Aberdeen
United Kingdom

Keywords

Algebra and Number Theory, Characters, Commutators

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