Sara C. Deb'on

collaborators

5 papers

math.GR2026

Quadratic fields of values of finite solvable groups

Sara C. Debón, Joan F. Tent

We show that if $G$ is a finite solvable group such that $E = Q ({χ (g) ∣ χ \in Irr (G), g \in G})$ is an extension of degree 2 over the rationals, then $E = \mathb…

math.GR2026

The Gruenberg-Kegel graph of finite solvable groups that are character-quadratic or semi-rational

Irene Crispi, Sara C. Debón, Emanuele Pacifici +2

A finite group $G$ is said to be semi-rational if the set of generators of each cyclic subgroup of $G$ is contained in at most two $G$ -conjugacy classes. This is equivalent to the…

math.GR2026

Gruenberg-Kegel graphs with four edges of finite solvable cut groups

Sara C. Debón, Diego García-Lucas, Ángel del Río

We prove that there is a unique graph with four edges which is the Gruenberg-Kegel graph of a solvable cut group. This contributes to the classification of the Gruenberg-Kegel grap…

math.GR2026

A generalization of a result of Hegedüs

Sara C. Debón

A famous result of P. Hegedüs describes the structure of finite rational ${2, 5}$ -groups. In this paper, we show how Hegedüs' proof can be used to obtain a similar result for the…

math.GR2023

The Gruenberg-Kegel graph of finite solvable rational groups

Sara C. Debón, Diego García-Lucas, Ángel del Río

A finite group $G$ is said to be rational if every character of $G$ is rational-valued. The Gruenberg-Kegel graph of a finite group $G$ is the undirected graph whose vertices are t…