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RESEARCH PRODUCT

Finite Group Elements where No Irreducible Character Vanishes

Gabriel NavarroThomas R. WolfI. M. Isaacs

subject

CombinatoricsFinite groupAlgebra and Number TheoryCharacter (mathematics)Character tableOrder (group theory)(gK)-moduleFitting subgroupMathematics

description

AbstractIn this paper, we consider elements x of a finite group G with the property that χ(x)≠0 for all irreducible characters χ of G. If G is solvable and x has odd order, we show that x must lie in the Fitting subgroup F(G).

https://doi.org/10.1006/jabr.1999.8007