74 citations · 339 across the 35 of their papers we have counts for
5 papers · 2 filters
Dihedral twists in the Twist Conjecture
Piotr Przytycki
Under the assumption that a defining graph of a Coxeter group admits only subsequent elementary twists in or dihedral groups and is of type , we prove B…
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…
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…
Tits Alternative for groups acting properly on -dimensional recurrent complexes (with an appendix written jointly with Jon McCammond)
Damian Osajda, Piotr Przytycki
We prove the Tits Alternative for groups acting on -dimensional "recurrent" complexes with uniformly bounded cell stabilisers. This class of complexes includes, among others: $2…
Torsion groups do not act on -dimensional complexes
Sergey Norin, Damian Osajda, Piotr Przytycki
We show, under mild hypotheses, that if each element of a finitely generated group acting on a -dimensional complex has a fixed point, then there is a global f…