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 )

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Geometry and topology online

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

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