A note on homotopy minimal periods for hyperbolic maps on infra-nilmanifolds

Karel Dekimpe, Gert-Jan Dugardein

In this paper, we show that for every non-nilpotent hyperbolic map $f$ on an infra-nilmanifold, the $\text{HPer}(f)$ is cofinite in $\mathbb{N}$. This generalizes a similar resul…