Mixed 3-manifolds are virtually special

Przytycki, Piotr; Wise, Daniel

doi:10.1090/jams/886

Mixed $3$-manifolds are virtually special
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by Piotr Przytycki and Daniel T. Wise;

J. Amer. Math. Soc. 31 (2018), 319-347

DOI: https://doi.org/10.1090/jams/886

Published electronically: October 19, 2017

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Abstract:

Let $M$ be a compact oriented irreducible $3$-manifold which is neither a graph manifold nor a hyperbolic manifold. We prove that $\pi _1M$ is virtually special.

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