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Dehn functions of subgroups of hyperbolic groups

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NPCW06 - Non-positive curvature and applications

Hyperbolic groups are characterised by having a linear Dehn function. This property does not pass to finitely presented subgroups by work of Brady. This opens the question of what Dehn functions of finitely presented subgroups of hyperbolic groups can be. In this talk I will detail what is known and give an example where we give an explicit computation of an upper bound. This is joint work with Claudio Llosa Isenrich and Ignat Soroko.

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

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