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arXiv · 2205.06155

Pro-$p$ completions of $PD_n$-groups

Jonathan Hillman·Dessislava H. Kochloukova
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Abstract

We sharpen earlier work on the pro-$p$ completions of orientable $PD_3$-groups. There are four cases, and we give examples of aspherical 3-manifolds representing each case. In three of the four cases the new results are best possible. We also consider the pro-$p$ completion of some orientable $PD_n$ groups for $n \leq 5$, including surface-by-surface groups.

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Jonathan Hillman, Dessislava H. Kochloukova. 2022-05-12. Pro-$p$ completions of $PD_n$-groups. https://arxiv.org/abs/2205.06155

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