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On Smooth Closed 3-manifolds with Finite Fundamental Groups

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arxiv 1103.2824 v2 pith:XD2LY5QW submitted 2011-03-15 math.GT

On Smooth Closed 3-manifolds with Finite Fundamental Groups

classification math.GT
keywords finiteclosedfundamentalsmoothconjecturecycliceverygeometrization
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In this paper, we prove a geometrization conjecture, every orientable smooth closed 3-manifold with finite fundamental group is homeomorphic to $S^3/G$ for some finite cyclic subgroup $G\subset {Isom}^+(S^3)$.

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