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On Jordan type bounds for finite groups acting on compact 3-manifolds

By Bruno Zimmermann


By a classical result of Jordan each finite subgroup of a\ud complex linear group GL_n(C) has an abelian normal subgroup whose\ud index is bounded by a constant depending only on n. It has been asked whether\ud this remains true for finite subgroups of the diffeomorphism group Diff(M) of\ud every compact manifold M; in the present paper, using the geometrization of\ud 3-manifolds, we prove it for compact 3-manifolds M

Topics: finite group actions, 3-manifold, Jordan bound
Year: 2014
DOI identifier: 10.1007/s00013-014-0671-z
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