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Finite groups and elements where characters vanish

โœ Scribed by Gang Chen


Book ID
105755972
Publisher
Springer
Year
2010
Tongue
English
Weight
98 KB
Volume
94
Category
Article
ISSN
0003-889X

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Finite Group Elements where No Irreducib
โœ I.M Isaacs; Gabriel Navarro; Thomas R Wolf ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 104 KB

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