V. Sotomayor

collaborators

2 papers

math.GR2026

A completeness criterion for the common divisor graph on $p$ -regular class sizes

VÃctor Sotomayor

Let $G$ be a finite group. For some fixed prime $p$ , let $I^_{p} (G)$ be the common divisor graph built on the set of sizes of $p$ -regular conjugacy classes of $G$ : this is the simple…

math.GR2025

Groups with conjugacy classes of coprime sizes

Rachel D. Camina, Attila MarÃ³ti, Emanuele Pacifici +6

Suppose that $x$ , $y$ are elements of a finite group $G$ lying in conjugacy classes of coprime sizes. We prove that $⟨ x^{G} ⟩ \cap ⟨ y^{G} ⟩$ is an abelian nor…

A completeness criterion for the common divisor graph on p-regular class sizes

Groups with conjugacy classes of coprime sizes

A completeness criterion for the common divisor graph on $p$ -regular class sizes