Ana Khukhro

Rigidity of finite quotients

Studying groups via their interaction with geometric or topological objects has proved to be a fruitful business, with many results linking properties of groups with geometric properties of spaces on which they act in a suitably nice way. Often, interesting examples of metric spaces can also be constructed using groups. We will look at a class of highly-connected graphs arising via Cayley graphs of finite quotients of groups, and explore how diverse this class can be.