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math.GR2016
A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes
Indira Chatterji, Alexandre Martin
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. Namel…
math.GR2016★ 20 cited
Quasi-isometries Between Groups with Two-Ended Splittings
Christopher H. Cashen, Alexandre Martin
We construct `structure invariants' of a one-ended, finitely presented group that describe the way in which the factors of its JSJ decomposition over two-ended subgroups fit togeth…