Rank 3 finite p-group actions on products of spheres
Abstract Let $p$ be an odd prime. We prove that every rank 3 finite $p$-group acts freely and smoothly on a product of three spheres. To construct this action, we first prove a generalization of a theorem of Lück and Oliver on constructions of $G$-equivariant vector bundles. We also give some other...
Gespeichert in:
| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2016-04, Vol.48 (2), p.325-340 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | Abstract
Let $p$ be an odd prime. We prove that every rank 3 finite $p$-group acts freely and smoothly on a product of three spheres. To construct this action, we first prove a generalization of a theorem of Lück and Oliver on constructions of $G$-equivariant vector bundles. We also give some other applications of this generalization. |
|---|---|
| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/blms/bdw001 |