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 …

Let G be a finite group. For a character χ of G, the number cod (χ)=[G: ker χ] χ (1) is called the
co-degree of χ. Let N be a non-trivial normal subgroup of G and set Irr (G| N)= Irr (G)− Irr …

On finite groups with exactly one vanishing conjugacy class size Page 1 Proceedings of the
Royal Society of Edinburgh, 153, 344–368, 2023 DOI:10.1017/prm.2022.4 On finite groups with …

The Sylow graph of a finite group originates from recent investigations on certain classes of
groups, defined in terms of normalizers of Sylow subgroups. The connectivity of this graph …

We prove that if all real-valued irreducible characters of a finite group G with Frobenius–
Schur indicator 1 are nonzero at all 2-elements of G, then G has a normal Sylow 2-subgroup …

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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 …

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

Let G be a finite group. An element g∈ G is called a vanishing element of G if there exists an
irreducible character χ of G such that χ (g)= 0. The size of the conjugacy class of G …

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. The conjugacy class of G containing …