|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Hyperbolicity and
cubulability are preserved under elementary equivalence
Simon André |
|
Geometry & Topology 24 (2020) 1075–1147
|
Abstract |
|
The following properties are preserved under elementary equivalence, among finitely generated groups: being hyperbolic (possibly with torsion), being hyperbolic and cubulable, and being a subgroup of a hyperbolic group. In other words, if a finitely generated group has the same first-order theory as a group possessing one of the previous properties, then enjoys that property as well. |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.84
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
hyperbolic groups, cubulable groups, model theory,
elementary equivalence, first-order logic
|
Mathematical Subject Classification 2010
Primary: 20F67
Secondary: 03C65
|
References |
Publication
Received: 14 February 2018
Revised: 23 April 2019
Accepted: 13 July 2019
Published: 30 September 2020
Proposed: Martin Bridson
Seconded: Anna Wienhard, Walter Neumann
|
Authors |
| Simon André | |
| Université de Rennes 1 CNRS IRMAR-UMR 6625 Rennes France |
Department of Mathematics Vanderbilt University Nashville, TN United States |
