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math.GR2022
Group elements whose character values are roots of unity
Mark L. Lewis, Lucia Morotti, Hung P. Tong-Viet
We classify all finite groups which possesses an element such that every irreducible character of takes a root of unity value at .
math.GR2020
Proportions of vanishing elements in finite groups
Lucia Morotti, Hung P. Tong-Viet
In this paper, we study the proportion of vanishing elements of finite groups. We show that the proportion of vanishing elements of every finite non-abelian group is bounded below…