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

Abstract: 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.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.