The Cohen–Lyndon property, coherence, and immersions

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• Macarena Arenas (University of Cambridge)
• Wednesday 03 September 2025, 11:45-12:45
• Seminar Room 1, Newton Institute.

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OGGW02 - Actions on graphs and metric spaces

In its classical form, the Cohen–Lyndon property encodes independence between the relators in a group presentation. It was first studied by Cohen and Lyndon in the context of one-relator groups, and has since been adapted and proven to hold in various settings. In this talk, I will tell you a little bit about how this property arises naturally in connection with asphericity and coherence, and I will describe a topological characterisation that allows us to check the Cohen–Lyndon property for large families of examples.  As an application, we deduce that fundamental groups of 2-complexes with non-positive irreducible curvature are coherent. Joint work with H.J.R. Wilton.

This talk is part of the Isaac Newton Institute Seminar Series series.

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