Embedding expanders into groups and applications

Damian Osajda (University of Wroclaw)

Wednesday 11th February, 2015 15:00-16:00 Maths 516

Abstract

I will present a construction of small cancellation labellings of some infinite sequences
of finite graphs. They provide infinite presentations of exotic finitely generated groups, eg. groups
with expanders isometrically embedded into their Cayley graphs, or groups coarsely embeddable into a Hilbert space and not having Yu's property A. Those are the first examples of finitely generated groups with such features.

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