Lucía Sanus

activity

20162024

most citedGroups whose character degree graph has diameter three

1 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.GR2024

On common zeros of characters of finite groups

Mark L. Lewis, Lucia Morotti, Emanuele Pacifici +2

Let $G$ be a finite group, and let $Irr (G)$ denote the set of the irreducible complex characters of $G$ . An element $g \in G$ is called a vanishing element of $G$ if there ex…

math.GR2023

The blocks with five irreducible characters

J. Miquel Martínez, Noelia Rizo, Lucia Sanus

Let $G$ be a finite group, $p$ a prime and $B$ a Brauer $p$ -block of $G$ with defect group $D$ . We prove that if the number of irreducible ordinary characters in $B$ is $5$ then $D…

math.GR2022

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

Silvio Dolfi, Emanuele Pacifici, Lucia Sanus

Let $G$ be a finite group, and let $cd (G)$ denote the set of degrees of the irreducible complex characters of $G$ . Define then the character degree graph $Δ (G)$ 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.GR2016★ 1 cited

Groups whose character degree graph has diameter three

Carlo Casolo, Silvio Dolfi, Emanuele Pacifici +1

Let $G$ be a finite group, and let $Δ(G)$ denote the \emph{prime graph} built on the set of degrees of the irreducible complex characters of $G$. It is well known that, whene…