Volume 22, issue 3 (2022)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Strictly systolic angled complexes and hyperbolicity of one-relator groups

Martín Axel Blufstein and Elías Gabriel Minian

Algebraic & Geometric Topology 22 (2022) 1159–1175

We introduce the notion of strictly systolic angled complexes. They generalize Januszkiewicz and Świątkowski’s 7–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 C(1 6) and C(1 4) T(4).

PDF Access Denied

We have not been able to recognize your IP address 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:

hyperbolic groups, one-relator groups, systolic complexes
Mathematical Subject Classification 2010
Primary: 20F06, 20F65, 20F67
Secondary: 57M07, 57M20
Received: 15 January 2020
Revised: 10 February 2021
Accepted: 8 June 2021
Published: 25 August 2022
Martín Axel Blufstein
Departamento de Matemática, FCEyN, UBA
Universidad de Buenos Aires
Buenos Aires
Elías Gabriel Minian
Departamento de Matemática, FCEyN, UBA
Universidad de Buenos Aires
Buenos Aires