@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",

}