3 papers
math.GR2025
An Improper Surface Group Action
Nic Brody
In 1999, Long and Reid proposed a proper action of a surface group on a product of trees. In this note, we show that the action is not proper.
math.GR2024
Approximating hyperbolic lattices by cubulations
Nic Brody, Eduardo Reyes
We show that an isometric action of a torsion-free uniform lattice on hyperbolic space can be metrically approximated by geometric actions of on $\mathrm{CAT…
math.GR2024
Generalized Residual Finiteness of Groups
Nic Brody, Kasia Jankiewicz
A countable group is residually finite if every nontrivial element can act nontrivially on a finite set. When a group fails to be residually finite, we might want to measure how dr…