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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Orientation-reversing periodic PL maps of lens spaces


Author: Paik Kee Kim
Journal: Proc. Amer. Math. Soc. 64 (1977), 351-356
MSC: Primary 55C35
MathSciNet review: 0442919
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Abstract: We complete the classification of all orientation-reversing PL maps of period $ 4k(k > 1)$ on lens spaces. All $ {Z_4}$-actions on the projective 3-space are also classified.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0442919-9
PII: S 0002-9939(1977)0442919-9
Keywords: Cyclic group action, periodic homeomorphism, fixed-point set, lens space
Article copyright: © Copyright 1977 American Mathematical Society