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Finite Group Elements where No Irreducible Character Vanishes

✍ Scribed by I.M Isaacs; Gabriel Navarro; Thomas R Wolf

Book ID: 102574458
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 104 KB
Volume: 222
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8007

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✦ Synopsis

In 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 .

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