3 papers
math.GR2026
The number of composite class sizes in finite groups
Vittorio Bagnara, VÃctor Sotomayor
We consider finite groups with at least three conjugacy class sizes that are composite numbers and we prove that, in that situation, the number of prime class sizes is bounded by t…
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.GR2025
Groups with triangle-free graphs on p-regular classes
MarÃa José Felipe, Marc Kelly Jean-Philippe, VÃctor Sotomayor
Let be a prime. In this paper we classify the -structure of those finite -separable groups such that, given any three non-central conjugacy classes of -regular element…