4 papers
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…
Drilling hyperbolic groups
Daniel Groves, Peter Haïssinsky, Jason F. Manning +3
Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…
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…