Symmetries of flat manifolds, Jordan property and the general Zimmer program
We obtain a sufficient and necessary condition for a finite group to act effectively on a closed flat manifold. Let G=En(R), EUn(R,Λ), SAut (Fn) or SOut (Fn). As applications, we prove that when n⩾3 every group action of G on a closed flat manifold Mk (k
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| Veröffentlicht in: | Journal of the London Mathematical Society 2019-12, Vol.100 (3), p.1065-1080 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We obtain a sufficient and necessary condition for a finite group to act effectively on a closed flat manifold. Let G=En(R), EUn(R,Λ), SAut (Fn) or SOut (Fn). As applications, we prove that when n⩾3 every group action of G on a closed flat manifold Mk (k |
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| ISSN: | 0024-6107 1469-7750 |
| DOI: | 10.1112/jlms.12260 |