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On the Burnside problem in Diff(M)

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  • In this paper we obtain some non-linear analogues of Schur's theorem asserting that a finitely generated subgroup of a linear group all of whose elements have finite order is, in fact, finite. The main result concerns groups of symplectomorphisms of certain manifolds of dimension $4$ including the torus $T^4$.
    Mathematics Subject Classification: 53D25, 37C50.

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