Peter Shalen

collaborators

2 papers

math.GR2025

On two-generator subgroups of mapping torus groups

Naomi Andrew, Edgar A. Bering, Ilya Kapovich +2

We prove that if $G_{I ¨} = ⟨ F, t ∣ t x t^{- 1} = I ¨ (x), x \in F ⟩$ is the mapping torus group of an injective endomorphism $I ¨ : F \to F$ of a free group $F$ (of possibly infinit…

math.GT2025

Actualizing subgroups of 3-manifold groups in homologically small submanifolds

Rosemary K. Guzman, Peter B. Shalen

Let $Y$ be a simple $3$ -manifold, and let $A$ be a finitely generated, freely indecomposable subgroup of $I ¨ _{1} (Y)$ . Set $I^\cdot = dim H_{1} (A; F_{2})$ . Suppose that either (a) $\partia…