3 papers
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.GR2025
On two-generator subgroups of mapping torus groups
Naomi Andrew, Edgar A. Bering, Ilya Kapovich +2
We prove that if is the mapping torus group of an injective endomorphism of a free group (of possibly infinit…
math.GT2024
Coloring spheres in 3--manifolds
Edgar A. Bering, Bennett Haffner, Estephanie Ortiz +1
The sphere graph of , a connect sum of copies of was introduced by Hatcher as an analog of the curve graph of a surface to study the outer automorphism gro…