Harsh Patil

collaborators

Showing math.GRShow all

2 papers · 1 filter

math.GR2025

Finiteness properties and Relatively Hyperbolic Groups

Harsh Patil

We show that properties $F_{n}$ and $F P_{n}$ hold for a relatively hyperbolic group if and only if they hold for all the peripheral subgroups. As an application we show that there are…

math.GR2025

Relative cohomological dimension of a relatively hyperbolic pair

Harsh Patil

We show that the relative cohomological dimension $\cd(G,H)$ of a relatively hyperbolic pair $(G, H)$ is always finite when $G$ is torsion-free. We also show that this dimension is…