3-Manifolds Everywhere

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Elsevier
https://www.sciencedirect.com/science/article/pii/S0021782417300624?via%3Dihub#!

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A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3-manifold with totally geodesic boundary. These subgroups can be taken to be quasi-isometrically embedded. This is true both in the few relators model, and the density model of random groups (at any density less than a half).
Danny Calegari was supported by NSF grant DMS 1005246. Henry Wilton was supported by an EPSRC Career Acceleration Fellowship.

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random groups, 3-manifolds, Kleinian groups, acylindrical, hyperbolic groups, subgroups

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https://repo.dare.co.zw/handle/123456789/173961

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University of Cambridge Apollo

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