On a Theorem of Scott and Swarup

Abstract

Let $1\to H\to G\to \mathbb{Z}\to 1$ be an exact sequence of hyperbolic groups induced by a fully irreducible automorphism $\varphi$ of the free group $H$. Let $H_1(\subset H)$ be a finitely generated distorted subgroup of $G$. Then $H_1$ is of finite index in $H$. This is an analog of a Theorem of Scott and Swarup for surfaces in hyperbolic 3-manifolds.

9 pgs no figs. This is a corrected version of an old paper

References in corpus (2)

• Cannon-Thurston fibers for iwip automorphisms of $F_N$
• Invariant laminations for irreducible automorphisms of free groups