Jonathan Hillman, Dessislava H. Kochloukova
Published 2022-05-12Version 1
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.
Comments: Some of the results of the final section are based on arXiv 1305.3953 [math.GT]
Automorphisms of procongruence mapping class groups
Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group
A study of subgroups of right-angled Coxeter groups via Stallings-like techniques
![QR code for arXiv:2205.06155 [math.GT]](http://oss.arxitics.com/images/favicon.svg)