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

Autor: Hillman, Jonathan, Kochloukova, Dessislava H.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Some of the results of the final section are based on arXiv 1305.3953 [math.GT]
Databáze: arXiv