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arXiv · 1404.7043

3-manifolds everywhere

Danny Calegari·Henry Wilton
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Abstract

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).

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Danny Calegari, Henry Wilton. 2017-02-21. 3-manifolds everywhere. https://arxiv.org/abs/1404.7043

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