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2022 Acylindrical hyperbolicity of cubical small cancellation groups
Goulnara N Arzhantseva, Mark F Hagen
Algebr. Geom. Topol. 22(5): 2007-2078 (2022). DOI: 10.2140/agt.2022.22.2007

Abstract

We provide an analogue of Strebel’s classification of geodesic triangles in classical C(16) groups for groups given by Wise’s cubical presentations satisfying sufficiently strong metric cubical small cancellation conditions. Using our classification, we give conditions guaranteeing that a cubical small cancellation group is acylindrically hyperbolic.

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Goulnara N Arzhantseva. Mark F Hagen. "Acylindrical hyperbolicity of cubical small cancellation groups." Algebr. Geom. Topol. 22 (5) 2007 - 2078, 2022. https://doi.org/10.2140/agt.2022.22.2007

Information

Received: 7 December 2018; Revised: 7 March 2021; Accepted: 6 April 2021; Published: 2022
First available in Project Euclid: 10 November 2022

Digital Object Identifier: 10.2140/agt.2022.22.2007

Subjects:
Primary: 20F06 , 20F65 , 20F67

Keywords: acylindrically hyperbolic group , contact graph , cubical small-cancellation , disc diagram , WPD element

Rights: Copyright © 2022 Mathematical Sciences Publishers

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Vol.22 • No. 5 • 2022
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