6533b851fe1ef96bd12a8ea8
RESEARCH PRODUCT
Finite Group Elements where No Irreducible Character Vanishes
Gabriel NavarroThomas R. WolfI. M. Isaacssubject
CombinatoricsFinite groupAlgebra and Number TheoryCharacter (mathematics)Character tableOrder (group theory)(gK)-moduleFitting subgroupMathematicsdescription
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).
year | journal | country | edition | language |
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1999-12-01 | Journal of Algebra |