Showing math.GRShow all
2 papers · 1 filter
math.GR2026
Ascending Chains in 3-Manifold and Relatively Hyperbolic Groups
Edgar A. Bering, Jakob Heikamp, Jack Kohav +2
We prove that any ascending chain of bounded rank subgroups in the fundamental group of a compact -manifold stabilizes. We use geometrization to reduce the proof to fundamental…
math.GR2024
Ascending Chains of Free Quasiconvex Subgroups
Jack Kohav, Nir Lazarovich
We prove that a hyperbolic group cannot contain a strictly ascending chain of free quasiconvex subgroups of constant rank.