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arXiv:math/0509311 [math.GT]AbstractReferencesReviewsResources

Countable groups are mapping class groups of hyperbolic 3-manifolds

Roberto Frigerio, Bruno Martelli

Published 2005-09-14Version 1

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.

Comments: 15 pages, 6 figures
Categories: math.GT, math.GR
Subjects: 57M50, 20F29, 30F40
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