论文标题
Pro- $ p $ $ pd_n $ -groups的完成
Pro-$p$ completions of $PD_n$-groups
论文作者
论文摘要
我们在可定位的$ pd_3 $ groups的Pro-P $完成方面进行了较早的工作。有四种情况，我们给出了代表每种情况的非球形3个manifolds的示例。在四种情况下，最好的结果是最好的。我们还考虑了$ n \ leq 5 $的一些定向$ pd_n $ groups的Pro-P $完成，包括表面表面组。
We sharpen earlier work on the pro-$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.
