@inbook{6bae09ba8ead4e6aa80d64b976773f52,
title = "A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes",
abstract = "We study the acylindrical hyperbolicity of groups acting by isometries on CAT(0) cube complexes, and obtain simple criteria formulated in terms of stabilisers for the action. Namely, we show that a group acting essentially and non-elementarily on a finite dimensional irreducible CAT(0) cube complex is acylindrically hyperbolic if there exist two hyperplanes whose stabilisers intersect along a finite subgroup. We also give further conditions on the geometry of the complex so that the result holds if we only require the existence of a single pair of points whose stabilisers intersect along a finite subgroup.",
author = "Indira Chatterji and Alexandre Martin",
year = "2019",
month = aug,
language = "English",
isbn = "9781108447294",
series = "London Mathematical Society Lecture Notes Series",
publisher = "Cambridge University Press",
pages = "160--178",
booktitle = "Beyond Hyperbolicity",
address = "United Kingdom",
}