V. Sotomayor

activity

20242026

collaborators

5 papers

math.GR2026

The number of composite class sizes in finite groups

Vittorio Bagnara, Víctor 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, Víctor 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 $G$ -character tables for normal subgroups

María José Felipe, María Dolores Pérez-Ramos, Víctor Sotomayor

Let $N$ be a normal subgroup of a finite group $G$ . From a result due to Brauer, it can be derived that the character table of $G$ contains square submatrices which are induced by…

math.GR2024

Groups with triangle-free graphs on p-regular classes

María José Felipe, Marc Kelly Jean-Philippe, Víctor Sotomayor

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 $Γ_{p} (G)$ be the common divisor graph built on the set of non-central conjugacy classes of $p$ -regular element…

The number of composite class sizes in finite groups

Finite groups in which almost all class sizes are prime numbers

On G-character tables for normal subgroups

Groups with triangle-free graphs on p-regular classes

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

On $G$ -character tables for normal subgroups

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