### Subgroup separability in 3-manifold and free-by-cyclic groups

Geometry and Topology Seminar

24th October 2023, 2:00 pm – 3:00 pm

Fry Building, 2.04

A group G is said to be subgroup separable if every finitely generated subgroup of G is the intersection of finite index subgroups. It is known that a fundamental group of a compact, irreducible, closed 3-manifold M is subgroup separable if and only if M is geometric. We will discuss the problem of subgroup separability in free-by-cyclic groups by drawing a parallel between free-by-cyclic and 3-manifold groups. Time permitting, we will discuss how to extend these ideas to find non-separable subgroups in random groups.

## Comments are closed.