54 citations · 253 across the 34 of their papers we have counts for
32 papers · 1 filter
Fit systolic groups, exactly
Martín Blufstein, Victor Chepoi, Huaitao Gui +1
A systolic complex/bridged graph is fit when its (metric) intervals are "not too large". We prove that uniformly locally finite fit systolic complexes have Yu's Property A. In part…
Graphical small cancellation and hyperfiniteness of boundary actions
Chris Karpinski, Damian Osajda, Koichi Oyakawa
We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned-off Cayley graphs. We show that a class of graphical small ca…
Rigidity and classification results for large-type Artin groups
Jingyin Huang, Damian Osajda, Nicolas Vaskou
We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context…
Weak Tits alternative for groups acting geometrically on buildings
Chris Karpinski, Damian Osajda, Piotr Przytycki
We show that if a group acts geometrically by type-preserving automorphisms on a building, then satisfies the weak Tits alternative, namely, that is either virtually ab…
Coxeter groups are biautomatic
Damian Osajda, Piotr Przytycki
We prove that Coxeter groups are biautomatic. From our construction of the biautomatic structure it follows that uniform lattices in isometry groups of buildings are biautomatic.
Tits Alternative for 2-dimensional CAT(0) complexes
Damian Osajda, Piotr Przytycki
We prove the Tits Alternative for groups acting on -dimensional complexes with a bound on the order of the cell stabilisers.