Degrees of rational characters of finite groups

Gabriel Navarro, Pham Huu Tiep

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

A classical theorem of John Thompson on character degrees states that if the degree of any complex irreducible character of a finite group G is 1 or divisible by a prime p, then G has a normal p-complement. In this paper, we consider fields of values of characters and prove some improvements of this result.

Original languageEnglish (US)
Pages (from-to)1121-1142
Number of pages22
JournalAdvances in Mathematics
Volume224
Issue number3
DOIs
StatePublished - Jun 1 2010

Keywords

  • Normal p-complement
  • Rational character

ASJC Scopus subject areas

  • Mathematics(all)

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