6533b7d4fe1ef96bd1261f1f
RESEARCH PRODUCT
Non-vanishing elements of finite groups
Pham Huu TiepGabriel NavarroLucia SanusEmanuele PacificiSilvio Dolfisubject
Finite groupBrauer's theorem on induced charactersAlgebra and Number TheoryCoprime integers010102 general mathematics0102 computer and information sciences01 natural sciencesFitting subgroupFinite groupsCombinatorics010201 computation theory & mathematicsOrder (group theory)Zeros of charactersCharacters0101 mathematicsElement (category theory)Mathematicsdescription
AbstractLet 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 | Journal of Algebra |