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- W2058914846 abstract "Let G be a finite group and p a prime number. We say that an element g in G is a vanishing element of G if there exists an irreducible character χ of G such that χ ( g ) = 0 . The main result of this paper shows that, if G does not have any vanishing element of p -power order, then G has a normal Sylow p -subgroup. Also, we prove that this result is a generalization of some classical theorems in Character Theory of finite groups." @default.
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- W2058914846 date "2009-01-01" @default.
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- W2058914846 title "On the orders of zeros of irreducible characters" @default.
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- W2058914846 doi "https://doi.org/10.1016/j.jalgebra.2008.10.004" @default.
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