Víctor Sotomayor

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math.GR2021

Finite groups whose prime graph on class sizes is a block square

Víctor Sotomayor

Let $G$ be a finite group, and let $Δ (G)$ be the prime graph built on its set of conjugacy class sizes: this is the (simple undirected) graph whose vertices are the prime numbers d…

math.GR2018

Products of groups and class sizes of $π$ -elements

M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor

We provide structural criteria for some finite factorised groups $G = A B$ when the conjugacy class sizes in $G$ of certain $π$ -elements in $A \cup B$ are either $π$ -numbers or $π^{'}$ -…

Finite groups whose prime graph on class sizes is a block square

Products of groups and class sizes of π-elements

Products of groups and class sizes of $π$ -elements