Abstract
We show that the Baumslag–Solitar relation x n =yx m y −1 cannot hold in a nondegenerate way in the fundamental group of an orientable 3 -manifold. This generalizes a result proved by Jaco and Shalen for the case of a Haken manifold. The generalization uses the general version of the Torus Theorem, the proof of which was completed by Casson and Jungreich and Gabai.
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