3 papers
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 is said to be semi-rational if the set of generators of each cyclic subgroup of is contained in at most two -conjugacy classes. This is equivalent to the…
math.GR2026
Gruenberg-Kegel graphs with four edges of finite solvable cut groups
Sara C. Debón, Diego GarcÃa-Lucas, Ãngel del RÃo
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 -groups. In this paper, we show how Hegedüs' proof can be used to obtain a similar result for th…