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math.GR2019
Tits alternative for Artin groups of type FC
Alexandre Martin, Piotr Przytycki
Given a group action on a finite-dimensional CAT(0) cube complex, we give a simple criterion phrased purely in terms of cube stabilisers that ensures that the group satisfies the s…
math.GR2019
Acylindrical actions for two-dimensional Artin groups of hyperbolic type
Alexandre Martin, Piotr Przytycki
For a two-dimensional Artin group whose associated Coxeter group is hyperbolic, we prove that the action of on the hyperbolic space obtained by coning off certain subcomple…