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- W3003166072 abstract "Let N be a normal subgroup of a finite group G. In this paper, we consider the elements g of N such that $$chi (g)ne 0$$ for all irreducible characters $$chi$$ of G. Such an element is said to be non-vanishing in G. Let p be a prime. If all p-elements of N satisfy the previous property, then we prove that N has a normal Sylow p-subgroup. As a consequence, we also study certain arithmetical properties of the G-conjugacy class sizes of the elements of N which are zeros of some irreducible character of G. In particular, if $$N=G$$, then new contributions are obtained." @default.
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- W3003166072 date "2020-01-29" @default.
- W3003166072 modified "2023-10-18" @default.
- W3003166072 title "On zeros of irreducible characters lying in a normal subgroup" @default.
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- W3003166072 doi "https://doi.org/10.1007/s10231-020-00942-1" @default.
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