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Electronic Research Announcements

ISSN 1079-6762



The Hilbert-Smith conjecture for quasiconformal actions

Author: Gaven J. Martin
Journal: Electron. Res. Announc. Amer. Math. Soc. 5 (1999), 66-70
MSC (1991): Primary 26A24, 30C60, 53A04, 54F65
Published electronically: May 28, 1999
MathSciNet review: 1694197
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Abstract: 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.

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Additional Information

Gaven J. Martin
Affiliation: Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand

Received by editor(s): November 9, 1998
Published electronically: May 28, 1999
Additional Notes: Research supported in part by a grant from the N.Z. Marsden Fund.
Communicated by: Walter Neumann
Article copyright: © Copyright 1999 American Mathematical Society