Real ordinary characters and real brauer characters

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We prove that if G is a finite group and p is a prime such that the degree of every real-valued irreducible complex, respectively real-valued irreducible p-Brauer character, of G is coprime to p, then Op'(G) is solvable. This result is a generalization of the celebrated Ito-Michler theorem for real ordinary characters, respectively real Brauer characters, with Frobenius-Schur indicator 1.

Original languageEnglish (US)
Pages (from-to)1273-1312
Number of pages40
JournalTransactions of the American Mathematical Society
Volume367
Issue number2
DOIs
StatePublished - 2015

Keywords

  • Frobenius-Schur indicator
  • Real-valued Brauer characters
  • Real-valued ordinary characters

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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