3-Manifolds Everywhere
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Calegari, D
Wilton, HJR
Abstract
A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3-manifold with totally geodesic boundary. These subgroups can be taken to be quasi-isometrically embedded. This is true both in the few relators model, and the density model of random groups (at any density less than a half).
Description
Keywords
random groups, 3-manifolds, Kleinian groups, acylindrical, hyperbolic groups, subgroups
Journal Title
Journal de Mathématiques Pures et Appliquées
Conference Name
Journal ISSN
0021-7824
Volume Title
108
Publisher
Elsevier
Publisher DOI
Sponsorship
Danny Calegari was supported by NSF grant DMS 1005246. Henry Wilton was supported by an EPSRC Career Acceleration Fellowship.