Graphical small cancellation and groups of type \(\mathrm{FP}\)

Abstract:

Graphical small cancellation was introduced by Gromov to embed an expanding family inside the Cayley graph of a finitely generated group. We use this technique to construct a large family of groups of type \(\mathrm{FP}\), most of which are not finitely presented. This is the first time non-finitely presented groups of type \(\mathrm{FP}\) have been constructed without using Bestvina-Brady Morse theory. I will give an idea of how graphical small cancellation works and how we use it.

This is joint work with Tom Brown.

algebraic topologygroup theorygeometric topology

Audience: researchers in the topic

( paper | slides )

---

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 five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

---