Let G be a finite group, and Irr (G) the set of irreducible complex characters of G. We say that
an element g∈ G is a vanishing element of G if there exists χ in Irr (G) such that χ (g)= 0. In …

Let G be a finite group. An element g∈ G is called a vanishing element of G if there exists an
irreducible complex character χ of G such that χ (g)= 0. In this paper we study the vanishing …

Let $ p $ be a prime and $ G $ a finite group. We propose a strong bound for the number of $
p'$-degree irreducible characters of $ G $ in terms of the commutator factor group of a Sylow …

We prove that a finite group GG has a normal Sylow pp‐subgroup PP if, and only if, every
irreducible character of GG appearing in the permutation character (1 P) G (\bf1_P)^G with …

Many results have been established that show how arithmetic conditions on conjugacy class
sizes affect group structure. A conjugacy class in G is called vanishing if there exists some …

Let G be a finite group. An element g ∈ G is a vanishing element of G if there exists an
irreducible complex character χ of G such that χ (g)= 0: if this is the case, we say that the …

Characterizing normal Sylow p-subgroups by character degrees Page 1 Journal of Algebra
370 (2012) 402–406 Contents lists available at SciVerse ScienceDirect Journal of Algebra …

Let G be a finite group. A vanishing element of G is g∈ G such that χ (g)= 0 for some χ∈ Irr
(G) of the set of irreducible complex characters of G. Denote by Vo (G) the set of the orders of …

FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF
PRIME POWER ORDER **shan Zhang, Zaixin Li and Changguo Sh Page 1 International …

For a finite group 𝐺, an element is called a vanishing element of 𝐺 if it is a zero of an
irreducible character of 𝐺; otherwise, it is called a non-vanishing element. Moreover, the …