A stronger version of Neumann’s BFC-theorem

Abstract: A celebrated theorem of B. H. Neumann states that if $G$ is a group in which all conjugacy classes are finite with bounded size, then the derived group $G’$ is finite.

In this talk we will discuss a stronger version of Neumann’s result and some corollaries for finite and profinite groups. Based on a joint work with Pavel Shumyatsky.

group theory

Audience: researchers in the topic

GOThIC - Ischia Online Group Theory Conference

Series comments: Please send a message to andrea.caranti@unitn.it to receive a link to the Zoom room where the conference (a series of talks, actually) takes place.