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The Hilbert-Smith conjecture for quasiconformal actions. (English) Zbl 0979.30013

Summary: This note announces a proof of the Hilbert-Smith conjecture in the quasiconformal case: A locally compact group \(G\) of quasiconformal homeomorphisms acting effectively on a Riemannian manifold is a Lie group. The result established is true in somewhat more generality.

MSC:

30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations

References:

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