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Generic Morse-Smale diffeomorphisms have only trivial symmetries


Author: Yoshio Togawa
Journal: Proc. Amer. Math. Soc. 65 (1977), 145-149
MSC: Primary 58F99
DOI: https://doi.org/10.1090/S0002-9939-1977-0448449-2
MathSciNet review: 0448449
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Abstract: The purpose of this paper is to prove that for a $ {C^1}$-generic Morse-Smale diffeomorphism f, the set of symmetries of f, $ Z(f)$, is equal to $ \{ {f^k}\vert k \in {\mathbf{Z}}\} $.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0448449-2
Keywords: Morse-Smale diffeomorphism, symmetry, centralizer, trivial symmetry, proper symmetry
Article copyright: © Copyright 1977 American Mathematical Society

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