Countable groups are mapping class groups of hyperbolic 3-manifolds
Geometric Topology
2007-05-23 v1 Group Theory
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.
Cite
@article{arxiv.math/0509311,
title = {Countable groups are mapping class groups of hyperbolic 3-manifolds},
author = {Roberto Frigerio and Bruno Martelli},
journal= {arXiv preprint arXiv:math/0509311},
year = {2007}
}
Comments
15 pages, 6 figures