Lucia Sanus

activity

20132023

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

1 citations · 3 across the 7 of their papers we have counts for

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9 papers · 1 filter

math.GR2023

Element orders and codegrees of characters in non-solvable groups

Z. Akhlaghi, E. Pacifici, L. Sanus

Given a finite group $G$ and an irreducible complex character $χ$ of $G$ , the codegree of $χ$ is defined as the integer $cod (χ) = ∣ G : ker χ ∣/ χ (1)$ . It was conjectured by G. Qian…

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★ 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.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.GR2021

The blocks with four irreducible characters

J. Miquel Martínez, Noelia Rizo, Lucía Sanus

Suppose that $B$ is a Brauer $p$ -block with defect group $D$ . If $B$ exactly contains 4 irreducible characters, then we show that $D$ has order 4 or 5, assuming the Alperin--McKay…

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.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…

math.GR2013

Nilpotent and Abelian Hall Subgroups in Finite Groups

Antonio Beltrán, María José Felipe, Gunter Malle +4

We give a characterization of the finite groups having nilpotent or abelian Hall $π$ -subgroups which can easily be verified from the character table.