Countable groups are mapping class groups of hyperbolic 3-manifolds

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dc.creatorFrigerio, Roberto
dc.creatorMartelli, Bruno
dc.date2005-09-14
dc.date.accessioned2026-07-07T05:23:11Z
dc.date.available2026-07-07T05:23:11Z
dc.descriptionWe prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isometry group of M, the mapping class group of M, and the outer automorphism group of the fundamental group of M are isomorphic to G.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0509311
dc.identifierhttp://arxiv.org/abs/math/0509311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76338
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M50 (primary); 20F29, 30F40 (secondary)
dc.titleCountable groups are mapping class groups of hyperbolic 3-manifolds
dc.typetext

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