Degrees and p-rational characters

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Suppose that G is a finite group and that p is a prime number. We prove that if every p-rational irreducible character of G is non-zero on every p-element of G, then G has a normal Sylow p-subgroup. This yields a p-rational refinement of the Itô-Michler theorem: if p does not divide the degree of any irreducible p-rational character of G, then G has a normal Sylow p-subgroup

Original languageEnglish (US)
Pages (from-to)1246-1250
Number of pages5
JournalBulletin of the London Mathematical Society
Volume44
Issue number6
DOIs
StatePublished - Dec 2012

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Subgroup
Irreducible Character
Prime number
Divides
Finite Group
Refinement
Theorem
Character

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Degrees and p-rational characters. / Navarro, Gabriel; Tiep, Pham Huu.

In: Bulletin of the London Mathematical Society, Vol. 44, No. 6, 12.2012, p. 1246-1250.

Research output: Contribution to journalArticle

Navarro, Gabriel ; Tiep, Pham Huu. / Degrees and p-rational characters. In: Bulletin of the London Mathematical Society. 2012 ; Vol. 44, No. 6. pp. 1246-1250.
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