The McKay conjecture is the origin of the counting conjectures in the representation theory
of finite groups. This book gives a comprehensive introduction to these conjectures, while …

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

On the proportion of vanishing elements in finite groups - ScienceDirect Skip to main contentSkip
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An element g of a finite group G is said to be vanishing in G if there exists an irreducible
character χ χ of G such that χ (g)= 0 χ (g)= 0; in this case, g is also called a zero of G. The aim …

Full article: Odd-order groups with small average number of zeros of characters Skip to Main
Content Taylor and Francis Online homepage Browse Search Publish Login | Register Log in or …

Let N be a normal subgroup of a finite group G. In this paper, we consider the elements g of
N such that χ (g) ≠ 0 χ (g)≠ 0 for all irreducible characters χ χ of G. Such an element is said …

The first author [J. Brough,'On vanishing criteria that control finite group structure', J.
Algebra458 (2016), 207–215] has shown that for certain arithmetical results on conjugacy …

Let 𝐺 be a finite group and let P v⁢(G) be the proportion of elements g∈ G such that χ⁢(g)=
0 for some irreducible character 𝜒. In a recent paper, we proved that if P v⁢(G)< P v⁢(A 7) …

Properties of characters of π-separable groups Page 1 Universit`a di Firenze, Universit`a di
Perugia, INdAM consorziate nel CIAFM DOTTORATO DI RICERCA IN MATEMATICA …

Let N be a normal subgroup of a finite group G. In this paper, we consider the elements g of
N such that (g)≠ 0 for all irreducible characters of G. Such an element is said to be non …