5 papers · 1 filter
The quadric flat torus theorem
Nima Hoda, Zachary Munro
We prove a flat torus theorem for quadric complexes. In particular, we show that if a non-cyclic free abelian group acts metrically properly on a quadric complex , then $G \…
From Trees to Tripods: Proof of for Artin groups with -type spherical parabolics
Nima Hoda, Jingyin Huang
We reduce the -conjecture for all Artin groups with tree Coxeter diagrams to properties of Artin groups with tripod-shaped Coxeter diagrams. Combining this reduction theor…
Trees of Graphs as Boundaries of Hyperbolic Groups
Nima Hoda, Jacek ÅwiÄ tkowski
We characterize those 1-ended word hyperbolic groups whose Gromov boundaries are homeomorphic to trees of graphs (i.e. to inverse limits of graphs that have particularly simple fin…
metrics on cell complexes
Thomas Haettel, Nima Hoda, Harry Petyt
Motivated by the observation that groups can be effectively studied using metric spaces modelled on , , and geometry, we consider cell complexes equip…
Strong shortcuts, generating sets, and isometric circles in asymptotic cones
Nima Hoda, Timothy Riley
We show that whether loops can be shortcut in a group's Cayley graph depends on the choice of finite generating set. Our example is the direct product of two rank-2 free groups and…