Countable groups are mapping class groups of hyperbolic 3-manifolds

Details Countable groups are mapping class groups of hyperbolic 3-manifolds Countable groups are mapping class groups of hyperbolic 3-manifolds

2005-09-14

arxiv.org/abs/math/0509311v1

Mathematics

Geometric Topology

15 pages, 6 figures

Scientific paper

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.

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