5 papers · 1 filter
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…
Fit systolic groups, exactly
MartÃn 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…
Locally elliptic actions, torsion groups, and nonpositively curved spaces
Thomas Haettel, Damian Osajda
Extending and unifying a number of well-known conjectures and open questions, we conjecture that locally elliptic (that is, every element has a bounded orbit) actions by automorphi…
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…