|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Strictly systolic
angled complexes and hyperbolicity of one-relator groups
Martín Axel Blufstein and Elías Gabriel Minian |
|
Algebraic & Geometric Topology 22 (2022) 1159–1175
|
Abstract |
|
We introduce the notion of strictly systolic angled complexes. They generalize Januszkiewicz and Świątkowski’s –systolic simplicial complexes and also their metric counterparts, which appear as natural analogues to Huang and Osajda’s metrically systolic simplicial complexes in the context of negative curvature. We prove that strictly systolic angled complexes and the groups that act on them geometrically, together with their finitely presented subgroups, are hyperbolic. We use these complexes to study the geometry of one-relator groups without torsion, and prove hyperbolicity of such groups under a metric small cancellation hypothesis, weaker than and . |
PDF Access Denied
We have not been able to recognize your IP address
3.133.147.87
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, one-relator groups, systolic complexes
|
Mathematical Subject Classification 2010
Primary: 20F06, 20F65, 20F67
Secondary: 57M07, 57M20
|
References |
Publication
Received: 15 January 2020
Revised: 10 February 2021
Accepted: 8 June 2021
Published: 25 August 2022
|
Authors |
| Martín Axel Blufstein | |
| Departamento de Matemática, FCEyN,
UBA Universidad de Buenos Aires Buenos Aires Argentina |
|
| Elías Gabriel Minian | |
| Departamento de Matemática, FCEyN,
UBA Universidad de Buenos Aires Buenos Aires Argentina |
|
