Countable groups are mapping class groups of hyperbolic 3-manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
15 pages, 6 figures

Keywords

Geometric Topology, Group Theory, 57M50 (primary); 20F29, 30F40 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/76338

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509311
 http://arxiv.org/abs/math/0509311

Collections

arXiv