2 papers
math.GR2025
Finite groups in which almost all class sizes are prime numbers
Carmine Monetta, VÃctor Sotomayor
In this paper we study arithmetical and structural features of a finite group that possesses exactly two conjugacy class sizes that are composite numbers.
math.GR2024
On neighborhoods in the enhanced power graph associated with a finite group
Mark L. Lewis, Carmine Monetta
This article investigates neighborhoods' sizes in the enhanced power graph (as known as the cyclic graph) associated with a finite group. In particular, we characterize finite -…