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math.GR2022
Non-solvable groups whose character degree graph has a cut-vertex. II
Silvio Dolfi, Emanuele Pacifici, Lucia Sanus
Let be a finite group, and let denote the set of degrees of the irreducible complex characters of . Define then the character degree graph as the (simp…
math.GR2022★ 1 cited
Non-solvable groups whose character degree graph has a cut-vertex. I
Silvio Dolfi, Emanuele Pacifici, Lucia Sanus +1
Let G be a finite group. Denoting by cd(G) the set of degrees of the irreducible complex characters of G, we consider the character degree graph of G: this is the (simple undirecte…
math.GR2022
On the proportion of vanishing elements in finite groups
Yu Zeng, Dongfang Yang, Silvio Dolfi
We prove that the function , measuring the proportion of the elements of a finite group that are zeros of irreducible characters of , takes very…