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Coherence of random groups

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  • UserGareth Wilkes (University of Cambridge)
  • ClockFriday 13 March 2020, 13:45-14:45
  • HouseCMS, MR13.

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Among the many properties one would wish a favourite group to have is coherence: the property that every finitely generated subgroup is finitely presented. Among our old friends, the 2-dimensional hyperbolic groups, coherence has an empirical connection with Euler characteristic: those groups which are known to be coherent have nonpositive Euler characteristic. In this talk I will discuss imminent work with Kielak & Kropholler which makes this connection probabilistic: a random group of negative Euler characteristic is coherent with high probability.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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