3-manifolds everywhere
classification
🧮 math.GR
math.GT
keywords
densitygroupmodelrandomsubgroupsboundarycompactcontains
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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).
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