On real and rational characters in blocks

Gabriel Navarro, Geoffrey R. Robinson, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The principal $p$-block of a finite group $G$ contains only one real-valued irreducible ordinary character exactly when $G/{{\bf O}-{p'}(G)}$ has odd order. For $p \ne 3$, the same happens with rational-valued characters. We also prove an analogue for $p$-Brauer characters with $p \geq 3$.

Original languageEnglish (US)
Pages (from-to)1955-1973
Number of pages19
JournalInternational Mathematics Research Notices
Issue number7
StatePublished - Apr 2019


  • 20C15
  • 20C20

ASJC Scopus subject areas

  • General Mathematics


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