On profinite groups with positive rank gradient

Abstract: In this talk I will introduce rank gradient of groups and discuss open questions about groups with positive rank gradient. In the second part I will focus on the profinite situation and sketch a proof that a profinite group $G$ with positive rank gradient does not satisfy a group law.

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.