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
1. Verfasser:	Ye, Shengkui
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Sprache:	eng
Schlagworte:	20F65 22F05 57S17 (primary)
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description	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
doi_str_mv	10.1112/jlms.12260
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title	Symmetries of flat manifolds, Jordan property and the general Zimmer program
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