Acylindrical hyperbolicity for Artin groups of dimension 2

Author:

Vaskou NicolasORCID

Abstract

AbstractIn this paper, we show that every irreducible 2-dimensional Artin group $$A_{\Gamma }$$ A Γ of rank at least 3 is acylindrically hyperbolic. We do this by studying the action of $$A_\Gamma $$ A Γ on its modified Deligne complex. Along the way, we prove results of independent interests on the geometry of links of this complex.

Funder

Heriot-Watt University

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The K(π,1) conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups;Algebraic & Geometric Topology;2024-06-28

2. The Tits alternative for two-dimensional Artin groups and Wise's power alternative;Journal of Algebra;2023-08

3. Extra-large type Artin groups are hierarchically hyperbolic;Mathematische Annalen;2022-12-10

4. Euclidean Artin–Tits groups are acylindrically hyperbolic;Groups, Geometry, and Dynamics;2022-10-28

5. Parabolic subgroups of large-type Artin groups;Mathematical Proceedings of the Cambridge Philosophical Society;2022-09-12

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