On the peripheral subgroups of irreducible 3-manifold groups and acylindrical splittings

Filippo Cerocchi

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arXiv · 1705.06124

On the peripheral subgroups of irreducible 3-manifold groups and acylindrical splittings

Filippo Cerocchi

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Abstract

We survey the problem of separation under conjugacy and malnormality of the abelian peripheral subgroups of an orientable, irreducible $3$-manifold $X$. We shall focus on the relation between this problem and the existence of acylindrical splittings of $\pi_1(X)$ as an amalgamated product or HNN-extension along the abelian subgroups corresponding to the JSJ-tori.

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Filippo Cerocchi. 2017-05-17. On the peripheral subgroups of irreducible 3-manifold groups and acylindrical splittings. https://arxiv.org/abs/1705.06124

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