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Periodic maps on R7 without fixed points

Published online by Cambridge University Press:  31 January 2002

RICHARD HAYNES ,
SLAWOMIR KWASIK ,
JERREL MAST  and
REINHARD SCHULTZ
RICHARD HAYNES
Affiliation:
Williams College, Williamstown, MA 02167, U.S.A.
SLAWOMIR KWASIK
Affiliation:
Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A.
JERREL MAST
Affiliation:
Princeton University, Princeton, NJ 08544, U.S.A.
REINHARD SCHULTZ
Affiliation:
Department of Mathematics, University of California, Riverside, CA 92521, U.S.A.
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Abstract

In this paper we prove that R7 admits smooth periodic maps with no fixed points for every period that is not a prime power. Results of P. A. Smith show that such examples do not exist in any lower dimensions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 1 , January 2002 , pp. 131 - 136
Copyright
2002 Cambridge Philosophical Society

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