S. Dolfi

activity

20162019

collaborators

4 papers

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.GR2017

On the character degree graph of solvable groups

Zeinab Akhlaghi, Carlo Casolo, Silvio Dolfi +2

Let $G$ be a finite solvable group, and let $Δ(G)$ denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of $G$. A fundamental resul…

math.GR2016

Finite groups whose non-linear irreducible characters of the same degree are Galois conjugate

Silvio Dolfi, Manoj K. Yadav

We classify the finite groups whose non-linear irreducible characters that are not conjugate under the natural Galois action have distinct degrees, therefore extending the results…

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

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

On the character degree graph of solvable groups

Finite groups whose non-linear irreducible characters of the same degree are Galois conjugate

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