Characters and the commutator map

Geoffrey R. Robinson

doi:10.1016/j.jalgebra.2008.02.032

Characters and the commutator map

Geoffrey R. Robinson

Mathematical Science

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3521-3526
Number of pages	6
Journal	Journal of Algebra
Volume	321
Issue number	11
DOIs	https://doi.org/10.1016/j.jalgebra.2008.02.032
Publication status	Published - 1 Jun 2009

Keywords

characters
commutators

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10.1016/j.jalgebra.2008.02.032

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title = "Characters and the commutator map",

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.",

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AB - 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.

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DO - 10.1016/j.jalgebra.2008.02.032

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JO - Journal of Algebra

JF - Journal of Algebra

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IS - 11

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