Nielsen numbers of periodic maps on solvmanifolds
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- by Kyung Bai Lee PDF
- Proc. Amer. Math. Soc. 116 (1992), 575-579 Request permission
Abstract:
Let $f:M \to M$ be a self-map of a solvmanifold $M$. Then the Lefschetz number $L(f)$ and the Nielsen number $N(f)$ of $f$ satisfy $|L(f)| \leq N(f)$. If $f$ is homotopically periodic (i.e., ${f^k} \simeq {\text {id}}$, for some $k \geq 1$), then $L(f) = N(f)$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 575-579
- MSC: Primary 55M20; Secondary 57R15
- DOI: https://doi.org/10.1090/S0002-9939-1992-1123659-8
- MathSciNet review: 1123659