Torsion in the homology of finite covers of 3-manifolds


Abstract in English

Let $N$ be a prime 3-manifold that is not a closed graph manifold. Building on a result of Hongbin Sun and using a result of Asaf Hadari we show that for every $kinBbb{N}$ there exists a finite cover $tilde{N}$ of $N$ such that $|operatorname{Tor} H_1(tilde{N};Bbb{Z})|>k$.

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