S. Dolfi

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20162022

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

1 citations · 1 across the 2 of their papers we have counts for

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math.GR2022★ 1 cited

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

S. Dolfi, E. Pacifici, L. Sanus

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

math.GR2021

On Huppert's Rho-Sigma Conjecture

Zeinab Akhlaghi, Silvio Dolfi, Emanuele Pacifici

For an irreducible complex character $χ$ of the finite group $G$ , let $π (χ)$ denote the set of prime divisors of the degree $χ (1)$ of $χ$ . Denote then by $ρ (G)$ the union of all th…

math.GR2019

$p$ -Power conjugacy classes in $U (n, q)$ and $T (n, q)$

Silvio Dolfi, Anupam Singh, Manoj K. Yadav

Let $q$ be a $p$ -power where $p$ is a fixed prime. In this paper, we look at the $p$ -power maps on unitriangular group $U (n, q)$ and triangular group $T (n, q)$ . In the spirit of Bore…

math.GR2018

Bounding the number of vertices in the degree graph of a finite group

Zeinab Akhlaghi, Silvio Dolfi, Emanuele Pacifici +1

Let $G$ be a finite group, and let $cd (G)$ denote the set of degrees of the irreducible complex characters of $G$ . The degree graph $Δ (G)$ of $G$ is defined as the simple un…

math.GR2018

On the character degree graph of finite groups

Zeinab Akhlaghi, Carlo Casolo, Silvio Dolfi +2

Given a finite group G, let cd(G) denote the set of degrees of the irreducible complex characters of G. The character degree graph of G is defined as the simple undirected graph wh…

math.GR2017

On the character degree graph of solvable groups