On the order of products of elements in finite groups

Abstract: It was proved by B. Baumslag and J. Wiegold that a finite group $G$ is nilpotent if and only if $o(x)o(y)=o(xy)$ for every pair of elements $x,y$ of coprime order. In this talk, we will present several theorems that generalize this result.

group theory

Audience: researchers in the topic

Finite Groups in Valencia

Series comments: The seminar meets weekly from February 26th to March 30th 2021.

For a detailed schedule and registration details, please visit the seminar webpage at

sites.google.com/view/finite-groups-seminar2021