Journal title
Annales de l’institut Fourier
DOI
10.5802/aif.2998
Issue
6
Volume
65
Last updated
2024-01-25T18:26:55.01+00:00
Page
2613-2640
Abstract
We give sufficient conditions for a group acting on a geodesic metric space to be acylindrically hyperbolic and mention various applications to groups acting on CAT(0) spaces. We prove that a group acting on an irreducible non-spherical non-affine building is acylindrically hyperbolic provided there is a chamber with finite stabiliser whose orbit contains an apartment. Finally, we show that the following classes of groups admit an action on a building with those properties: orthogonal forms of Kac–Moody groups over arbitrary fields, and irreducible graph products of arbitrary groups - recovering a result of Minasyan–Osin.
Symplectic ID
672216
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Publication type
Journal Article
Publication date
01 Jan 2015