We 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.

Countable groups are mapping class groups of hyperbolic 3-manifolds

FRIGERIO, ROBERTO;MARTELLI, BRUNO
2006-01-01

Abstract

We 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.
2006
Frigerio, Roberto; Martelli, Bruno
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/181787
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