Degrees and p-rational characters

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

5 Scopus citations

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
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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