V. Sotomayor

activity

20242026

collaborators

4 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

Let $p$ be a prime. In this paper we classify the $p$ -structure of those finite $p$ -separable groups such that, given any three non-central conjugacy classes of $p$ -regular element…

math.GR2024

Groups whose common divisor graph on $p$ -regular classes has diameter three

M. J. Felipe, M. K. Jean-Philippe, V. Sotomayor

Let $G$ be a finite $p$ -separable group, for some fixed prime $p$ . Let $I^_{p} (G)$ be the common divisor graph built on the set of non-central conjugacy classes of $p$ -regular elemen…

The number of composite class sizes in finite groups

Finite groups in which almost all class sizes are prime numbers

Groups with triangle-free graphs on p-regular classes

Groups whose common divisor graph on p-regular classes has diameter three

Groups whose common divisor graph on $p$ -regular classes has diameter three