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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
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 infinite r…
math.GR2023
An algorithm to decide if an outer automorphism is geometric
Edgar A. Bering, Yulan Qing, Derrick R. Wigglesworth
An outer automorphism of a free group is geometric if it can be represented by a homeomorphism of a compact surface. Bestvina and Handel gave an algorithmic characterization of geo…