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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The stable signature of a regular cyclic action
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by Robert D. Little PDF
Proc. Amer. Math. Soc. 130 (2002), 259-266 Request permission

Abstract:

Let $p$ be an odd prime and $g: M^{2n}\longrightarrow M^{2n}$ a smooth map of order $p$. Suppose that the cyclic action defined by $g$ is regular and has fixed point set $F$. If the $g$–signature Sign$(g, M)$ is a rational integer and $n<p-1$, then there exists a choice of orientations such that Sign$(g, M)=$ Sign $F$.
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Additional Information
  • Robert D. Little
  • Affiliation: Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822-2330
  • Email: little@math.hawaii.edu
  • Received by editor(s): May 19, 2000
  • Published electronically: July 31, 2001
  • Communicated by: Ralph Cohen
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 259-266
  • MSC (2000): Primary 57S17
  • DOI: https://doi.org/10.1090/S0002-9939-01-06369-9
  • MathSciNet review: 1855644