activity
20102026
most citedA new solvability criterion for finite groups

17 citations · 23 across the 14 of their papers we have counts for

collaborators

18 papers

math.GR2026

Degrees of -rational characters and normality of Sylow -subgroups

Silvio Dolfi, Pham Huu Tiep, Yu Zeng

Several refinements of (the normality part of) the celebrated Itô--Michler theorem were obtained during the last two decades, in which the condition of having -degree, for a fi…

math.GR2024

Finite groups whose real irreducible representations have unique dimensions

Thomas Breuer, Frank Calegari, Silvio Dolfi +2

We determine the finite groups whose real irreducible representations have different degrees.

math.GR2024

On the structure of the character degree graphs having diameter three

Silvio Dolfi, Roghayeh Hafezieh, Pablo Spiga

The structure of the character degree graphs , i.e. the prime graphs on the set of the irreducible character degrees of a finite group , such that is…

math.GR2023

Finite groups with a small proportion of vanishing elements

Dongfang Yang, Yu Zeng, Silvio Dolfi

The function , measuring the proportion of the elements of a finite group that are zeros of irreducible characters of , takes (as proved in [12])…

math.GR2022★ 1 cited

Non-solvable groups whose character degree graph has a cut-vertex. III

S. Dolfi, E. Pacifici, L. Sanus

Let be a finite group. Denoting by the set of the degrees of the irreducible complex characters of , we consider the {\it character degree graph} of : this…

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…