Friday, September 9, 20162:00 pmCUNY Logic WorkshopGC 6417

# Invariant random subgroups of locally finite groups

## Simon Thomas

### Rutgers University

Let *G* be a countably infinite group and let Sub_{G} be the compact space of subgroups *H≤G*. Then a probability measure ν on Sub_{G} which is invariant under the conjugation action of *G* on Sub_{G} is called an * invariant random subgroup*. In this talk, I will discuss the invariant random subgroups of inductive limits of finite alternating groups. (This is joint work with Robin Tucker-Drob.)