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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
Full-text PDF Free Access
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Additional Information
Abstract: This note announces a proof of the Hilbert-Smith conjecture in the quasiconformal case: A locally compact group  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
Email:
martin@math.auckland.ac.nz
DOI:
http://dx.doi.org/10.1090/S1079-6762-99-00062-1
PII:
S 1079-6762(99)00062-1
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
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