#### Volume 8, issue 4 (2008)

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Residually free $3$–manifolds

### Henry Wilton

Algebraic & Geometric Topology 8 (2008) 2031–2047
##### Abstract

We classify those compact $3$–manifolds with incompressible toral boundary whose fundamental groups are residually free. For example, if such a manifold $M$ is prime and orientable and the fundamental group of $M$ is nontrivial then $M\cong \Sigma ×{S}^{1}$, where $\Sigma$ is a surface.

##### Keywords
3-manifolds, free groups, geometric group theory
##### Mathematical Subject Classification 2000
Primary: 20F65, 57N10