P-Parts of Brauer character degrees

Gabriel Navarro, Pham Huu Tiep, Hung P. Tong-Viet

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let G be a finite group and let p be an odd prime. Under certain conditions on the p-parts of the degrees of its irreducible p-Brauer characters, we prove the solvability of G. As a consequence, we answer a question proposed by B. Huppert in 1991: If G has exactly two distinct irreducible p-Brauer character degrees, then is G solvable? We also determine the structure of non-solvable groups with exactly two irreducible 2-Brauer character degrees.

Original languageEnglish (US)
Pages (from-to)426-438
Number of pages13
JournalJournal of Algebra
Volume403
DOIs
StatePublished - Feb 1 2014

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Character Degrees
Solvability
Finite Group
Odd
Distinct

Keywords

  • Brauer characters
  • Solvable groups

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

P-Parts of Brauer character degrees. / Navarro, Gabriel; Tiep, Pham Huu; Tong-Viet, Hung P.

In: Journal of Algebra, Vol. 403, 01.02.2014, p. 426-438.

Research output: Contribution to journalArticle

Navarro, Gabriel ; Tiep, Pham Huu ; Tong-Viet, Hung P. / P-Parts of Brauer character degrees. In: Journal of Algebra. 2014 ; Vol. 403. pp. 426-438.
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