Non-vanishing elements of finite groups

Silvio Dolfi, Gabriel Navarro, Emanuele Pacifici, Lucia Sanus, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Let G be a finite group, and let Irr (G) denote the set of irreducible complex characters of G. An element x of G is non-vanishing if, for every χ in Irr (G), we have χ (x) ≠ 0. We prove that, if x is a non-vanishing element of G and the order of x is coprime to 6, then x lies in the Fitting subgroup of G.

Original languageEnglish (US)
Pages (from-to)540-545
Number of pages6
JournalJournal of Algebra
Volume323
Issue number2
DOIs
StatePublished - Jan 15 2010

Keywords

  • Characters
  • Finite groups
  • Zeros of characters

ASJC Scopus subject areas

  • Algebra and Number Theory

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