In this paper, we expand certain aspects of Nielsen periodic point theory from tori and nilmanifolds to infra-nilmanifolds. We show that infra-nilmanifolds are essentially reducible to the GCD and essentially toral. With these structural properties in mind, we develop a method to compute the full Nielsen-Jiang number $NF_n(f)$. We also determine for which maps it holds that $NF_n(f)=N(f^n)$, for all $n$.
"Nielsen periodic point theory on infra-nilmanifolds." Bull. Belg. Math. Soc. Simon Stevin 24 (4) 537 - 566, december 2017. https://doi.org/10.36045/bbms/1515035006